Podcasts about ergodic

In this week's episode, Patrick and Greg talk about person-centered methods versus variable-centered methods with the punch line being that the historically contentious distinction between these two is unnecessary, unhelpful, and even counter-productive. Along the way they also mention lost luggage, Sabena Air t-shirts, the Inquisition, honey badger Americans, Fredrik Backman, punch lines, a frayed knot, the Keanu Reeves of statistics, new bosses and old bosses, non sequiturs, fffsssshhhhh, ergodicity, complimentary eye patches, and Atrick. Stay in contact with Quantitude! Web page: quantitudepod.org TwitterX: @quantitudepod YouTube: @quantitudepod Merch: redbubble.com

In this episode we answer questions from MyContactInfo, Anonymous and Arun.  We discuss a podcast and article about the concept of Ergodicity and how to apply it, a variation of the Golden Ratio portfolio from one of our listeners recently discussed in an interview, and the illusory benefits of dividend-paying stocks and related delusions.And THEN we our go through our weekly portfolio reviews of the seven sample portfolios you can find at Portfolios | Risk Parity Radio.Additional links:EconTalk Podcast on Ergodicity:  Luca Dellanna on Risk, Ruin, and Ergodicity | EconTalkTaylor Pearson Article on Ergodicity:  Ergodicity: A Simple Explanation of Ergodic vs. Non-Ergodic (taylorpearson.me)Picture Perfect Portfolios Article about a Golden Ratio-style portfolio and others:  100% Factor Focused Equities vs Diversification Reigns Supreme (pictureperfectportfolios.com)Three Ben Felix Videos About the Irrelevance of Dividends:The Irrelevance of Dividends - YouTubeThe Relevance of Dividend Irrelevance - YouTubeDividend Growth Investing - YouTubeIntel's 2023 Dividend Cut: Intel cuts dividend to lowest since 2007 to save cash | ReutersIntel slashes dividend by over 65%, to 12.5 cents (cnbc.com)Support the show

References J Biol Chem 2017 292: 20481. Critique if Pure Reason.1781. Kant,I. Guerra,2023. manuscripts in preparation --- Send in a voice message: https://podcasters.spotify.com/pod/show/dr-daniel-j-guerra/message

References ACS Omega. 2019 Nov 26; 4(22):19526–19547 Guerra: general thermodynamics lectures --- Send in a voice message: https://podcasters.spotify.com/pod/show/dr-daniel-j-guerra/message

We welcome guest co-host, Míša Hejná, to The Write Attention podcast to discuss poetics, performance, and personhood. Míša Hejná writes and performs poetry in Aarhus, Denmark.  She is also a member of Aarhus Women Write. Her work is primarily meditative and focuses on existential questions by combining the textual, the visual, and the aural. In Episode 5, Míša captivates us with her readings and shares her questions and insights about performing visual poetry (yes, visual poetry), defining voice and style with rules, and the line between art and therapy.    Questions (How) can visual poetry be performed for an audience? When is writing(/painting) for therapy art and not "just" therapy? (How) can visual poetry be performed for an audience?  How do you navigate the relationship between voice and the written word during performance? (For example, I can think of when I listen to slam poets sometimes and how the voice can sometimes get in the way of the poem, has this happened to you and, if so, how do you navigate that disconnect?)   Show Notes Míša's Reading A Seagull Shat on Me As You Lay Daying 1. Aarhus Women Write 2. Always Burning Storytelling Series 3. Aarhus International Literature Festival on June 18th 4. Poetic Forms mentioned Bop: https://www.writersdigest.com/write-better-poetry/poetic-form-the-bop Cascade: https://www.writersdigest.com/write-better-poetry/poetic-form-cascade-poem Descourt: https://www.writersdigest.com/write-better-poetry/descort-poetic-form Ballade: https://www.poetryfoundation.org/learn/glossary-terms/ballade#:~:text=An%20Old%20French%20verse%20form,subsequent%20stanzas%20and%20the%20envoy. Golden Shovels: https://www.poetryfoundation.org/poetrymagazine/articles/92023/introduction-586e948ad9af8 5. Who Says?: Mastering Point of View in Fiction by Lisa Zeidner: https://www.amazon.com/Who-Says-Mastering-Point-Fiction/dp/0393356116#:~:text=%22Lisa%20Zeidner%27s%20Who%20Says%3F%20is,students%2C%20writers%20and%20readers.%22 6. Classical English Style by Ward Farnsworth:  http://classicalenglishstyle.com 7. House Of Leaves by Mark Z. Danielewski: https://www.barnesandnoble.com/w/house-of-leaves-mark-z-danielewski/1102466935 8. Long Division by Kiese Laymon: https://www.simonandschuster.com/books/Long-Division/Kiese-Laymon/9781982174828 9. Ergodic literature term (coined by Aspen J. Aarseth in Cybertext—Perspectives on Ergodic Literature): https://en.wikipedia.org/wiki/Ergodic_literature  10. Dictee by Theresa Hak Kyung Cha: https://www.goodreads.com/en/book/show/90894  11. Sunbathing is Forbidden in the Graveyard by Jeannetta Craigwell-Graham in Indiana Review's Winter Issue: https://indianareview.org/item/winter-2023-volume-44-number-2/ 12. The Dangers of Smoking in Bed by Mariana Enriquez: https://www.penguinrandomhouse.com/books/624631/the-dangers-of-smoking-in-bed-by-mariana-enriquez/ 13. Alice Walker's journals: https://www.amazon.com/Gathering-Blossoms-Under-Fire-Journals/dp/1476773157/ref=tmm_hrd_swatch_0?ots=1&tag=thneyo0f-20&linkCode=w50&_encoding=UTF8&qid=&sr= 14. Exercises in Style by Raymond Queneau: https://www.amazon.com/Exercises-Style-Raymond-Queneau/dp/0811207897  

An interview with Los Angeles-based writer, award-winning composer, and sound designer Chris Porter who is the creator of a new audio sci-fi drama, SOLAR, with Jenny Curtis, that features Helen Hunt,  Alan Cumming,  Stephanie Beatriz, and Jonathan Bangs. We talk about ghosts, liminal spaces, and creating immersive literature!

On a labyrinthine edition of Disinformed, Michael leads us through the serpentine realms of ergodic literature... Do you prefer to be spoon-fed, or would you rather have to work for your entertainment? Find out on this week's episode. https://linktr.ee/disinformedpodcast Outro:Semi-Funk by Kevin MacLeodLink: https://filmmusic.io/song/4333-semi-funkLicense: http://creativecommons.org/licenses/by/4.0 Show Notes:https://www.antsylabs.com/products/fidget-cube - This is what Mike and Jon have. Sources:https://en.wikipedia.org/wiki/Ergodic_literaturehttps://medium.com/illumination/what-is-ergodic-literature-c4f015b4d40ahttps://en.wikipedia.org/wiki/Cybertexthttps://en.wikipedia.org/wiki/House_of_Leaveshttps://gfsecretsrevealed.weebly.com/codes.html https://screenrant.com/youtube-video-based-args-best/https://www.youtube.com/user/marblehornets Ergodic Literature: The Rebirth of the Novel - Morgan Scott Chanhttps://bookriot.com/books-like-house-of-leaves/https://www.gradesaver.com/fear-and-loathing-in-las-vegas/study-guide/literary-elementshttp://www.artandpopularculture.com/Hundred_Thousand_Billion_Poems https://www.goodreads.com/book/show/11271173-composition-no-1 Our GDPR privacy policy was updated on August 8, 2022. Visit acast.com/privacy for more information.

GCSE maths teachers will recognise the profile of the disengaged 15-year-old that understands maths easily but hasn't the motivation to put in the work for a really good grade. This student will often drop maths post-16, or if they don't, you might lose sight of them as they go to college or join another teacher's A level group. If you have seen a few of these characters through your doors, you may be encouraged to hear this conversation between Douglas Coates, now a research mathematician at Université Paris Saclay, and his A level teacher, Tom Rainbow. Doug explains how maths came alive for him post-16, and what it was that inspired him. And he poses a great little maths problem (from John Mason) for you and your students to try!  Show notes Taking part in the discussion are: Tom Rainbow, Maths Education Support Specialist with the AMSP (Advanced Maths Support Programme) Douglas Coates, Research mathematician, Université Paris Saclay Gwen Tresidder, NCETM Communications Manager (introducing the discussion) Episode chapters 00:06 – Introduction and meet Tom 03:16 – How Doug came to take A level maths and what he has done since 07:23 – How differentiation brought maths alive for Doug 10:30 – Doug explains his hatred of memorisation and calculating, but love of thinking, logic and solving problems 11:27 – How important is ownership of the mathematical process? 11:50 – Can a textbook create the conditions for proper mathematical discussion and thinking? 12:30 – Tom muses about providing for students that want something more mechanistic 14:19 – Use of technology vs. written techniques 15:36 – Tom recounts teaching about a straight line crossing a circle 20:29 – Did A level maths prepare Doug well for his degree? 24:50 – Doug explains his research area – Ergodic theory 27:40 – Doug's maths problem about a bicycle (originally from John Mason and published in the book ‘Thinking Mathematically') Useful links Tom tweets as @CoreMathsTom

In which Carla continues to explore the Navidson Record of House of Leaves. This is the third episode; to begin, start with episode 68: Bone-Chimes and Primitive Spiders: https://www.podchaser.com/podcasts/there-might-be-cupcakes-podcas-520320/episodes/bone-chimes-and-primitive-spid-85959021 then listen to episode 70: Ergodic: https://www.podchaser.com/podcasts/there-might-be-cupcakes-podcas-520320/episodes/ergodic-house-of-leaves-70-94954631https://www.markzdanielewski.comHouse of Leaves by Mark Z. Danielewski https://bookshop.org/a/6560/9780375703768The Whalestoe Letters: From House of Leaves https://bookshop.org/a/6560/9780375714412The Cipher by Kathe Koja https://bookshop.org/a/6560/9781946154330The Willows by Algernon Blackwood, Illustrated Edition https://bookshop.org/a/6560/9798653366215Slade House by David Mitchell https://bookshop.org/a/6560/9780812988079Alice in Wonderland by Lewis Carroll https://bookshop.org/a/6560/9781907523892Alice Through the Looking-Glass by Lewis Carroll https://bookshop.org/a/6560/9781909621572The House Next Door by Anne Rivers Siddons https://bookshop.org/a/6560/9781416553441Locke and Key vol. 1: Welcome to Lovecraft by Joe Hill https://bookshop.org/a/6560/9781600103841The Haunting of Hill House https://bookshop.org/a/6560/9780143039983The Haunting of Hill House Audible, narrated by Bernadette Dunne https://amzn.to/3jrA2VRWe Have Always Lived in the Castle Audible, narrated by Bernadette Dunne https://amzn.to/3GgBm7QReferenced works, sources, and recommended reading:Dante's Inferno https://bookshop.org/a/6560/9780141195872Rainer Maria Rilke: https://ronnowpoetry.com/contents/rilke/Orpheus.htmlVirgil's The Aeneid https://bookshop.org/a/6560/9780143105138M. C. Escher https://bookshop.org/a/6560/9783836529846Rikki-Tikki-Tavi Rudyard Kipling https://bookshop.org/a/6560/9781786750488Being and Time by Martin Heidegger https://bookshop.org/a/6560/9781438432762The Never-Ending Story by Michael Ende https://amzn.to/3jFl2Uchttps://en.wikipedia.org/wiki/Hermeshttps://www.britannica.com/topic/Orpheus-Greek-mythologyTheme song and stinger: “Comadreamers I” by Haunted Me, off their Pleasure album, used with permissionHow to Support Cupcakes:Audible: https://www.audible.com/ep/creator?source_code=PDTGBPD060314004RCare/Of Vitamins: https://takecareof.com/invites/chr4bwPatreon: https://www.patreon.com/m/theremightbecupcakesand please visit my lovely sponsors that share their ads on my episodes.Where to Find Cupcakes:Facebook Page: https://www.facebook.com/theremightbecupcakesFacebook Group: https://www.facebook.com/groups/theremightbecupcakesTwitter: @mightbecupcakesInstagram: @theremightbecupcakes and @carlahauntedReddit: https://www.reddit.com/r/theremightbecupcakes r/theremightbecupcakesGoodreads: https://www.goodreads.com/group/show/804047-there-might-be-cupcakes-podcast-groupContact: carla@theremightbecupcakes.comComplete list of ways to listen to the podcast on the sidebar at http://theremightbecupcakes.com

In which Carla explores the beginning of the Navidson Record, the structure of the novel, the history of ergodic literature, and the social phenomenon of the novel 21 years ago, as well as the psychological symptom that drives the stories in this novel.First episode in this series: Bone-Chimes and Primitive Spiders: https://www.spreaker.com/episode/43799576The House of Leaves universe:House of Leaves by Mark Z. Danielewski https://bookshop.org/a/6560/9780375703768The Whalestoe Letters: From House of Leaves https://bookshop.org/a/6560/9780375714412Poe’s album “Haunted”: Apple https://apple.co/2MT62F4, Spotify https://spoti.fi/3c2RsDq, Amazon https://amzn.to/3t0qkMyReferenced:The Griffin and Sabine Series by Nick Bantock:1. Griffin and Sabine https://bookshop.org/a/6560/97814521559512. Sabine’s Notebook https://bookshop.org/a/6560/97808118018053. The Golden Mean https://bookshop.org/a/6560/97808118029874. The Pharos Gate https://amzn.to/3dGBSQ2Night Film by Marisha Pessl https://bookshop.org/a/6560/9780812979787Pale Fire by Vladimir Nabokov https://bookshop.org/a/6560/9780679723424The Annotated Lolita by Vladimir Nabokov https://bookshop.org/a/6560/9780679727293Ada, or Ardor: A Family Chronicle by Vladimir Nabokov https://bookshop.org/a/6560/9780679725220Some of Ellen Hopkins’ prose poetry books:Tricks and Traffick https://bookshop.org/a/6560/9781481498258Burned and Smoke https://bookshop.org/a/6560/9781481498364Perfect https://bookshop.org/a/6560/9781416983255Impulse https://bookshop.org/a/6560/9781416903574Crank, Glass, and Fallout https://bookshop.org/a/6560/9781442499591The Last House on the Left https://bookshop.org/a/6560/0760137288688Grave Encounters https://bookshop.org/a/6560/0810072542632In the Mouth of Madness https://bookshop.org/a/6560/0826663188745Joel-Peter Witkin: An Objective Eye https://letterboxd.com/film/joel-peter-witkin-an-objective-eye/Sources:https://religionpopculture.home.blog/2019/04/21/exploring-labyrinths-and-voids-in-house-of-leaves/https://www.theguardian.com/books/2020/apr/02/house-of-leaves-changed-my-life-the-cult-novel-at-20https://en.wikipedia.org/wiki/House_of_Leaveshttps://parapedia.fandom.com/wiki/House_of_Leaveshttps://www.markzdanielewski.comCybertext: Perspectives on Ergodic Literature by Espen J. Aarspeth https://bookshop.org/a/6560/9780801855795Cybertexts by Bruce Boston https://amzn.to/3wp6sV4https://www.wise-geek.com/what-is-hypergraphia.htmhttps://bipolar-101.blogspot.com/2012/06/hypergraphia-compulsion-to-write-in.htmlhttp://www.doctorsreview.com/history/hypergraphia-two-sided-affliction/The Midnight Disease: The Drive to Write, Writer's Block, and the Creative Brain by Alice W. Flaherty https://bookshop.org/a/6560/9780618485413https://www.songfacts.com/facts/the-beatles/a-day-in-the-lifeList of ergodic literature on Goodreads: https://www.goodreads.com/list/show/90232.Ergodic_LIteratureTheme song and stinger: “Comadreamers I” by Haunted Me, off their Pleasure album, used with permissionHow to Support Cupcakes:Audible: https://www.audible.com/ep/creator?source_code=PDTGBPD060314004RCare/Of Vitamins: https://takecareof.com/invites/chr4bwPatreon: https://www.patreon.com/m/theremightbecupcakesand please visit my lovely sponsors that share their ads on my episodes.Where to Find Cupcakes:Facebook Page: https://www.facebook.com/theremightbecupcakesFacebook Group: https://www.facebook.com/groups/theremightbecupcakesTwitter: @mightbecupcakesInstagram: @theremightbecupcakes and @carlahauntedReddit: https://www.reddit.com/r/theremightbecupcakes r/theremightbecupcakesGoodreads: https://www.goodreads.com/group/show/804047-there-might-be-cupcakes-podcast-groupContact: carla@theremightbecupcakes.comComplete list of ways to listen to the podcast on the sidebar at http://theremightbecupcakes.com

What does it mean to be an ergodic text? That's a complicated question. For one thing, the very meaning of the word “text” can be variable to different people, but… The post e155. Introduction to Ergodic Texts and Reading appeared first on The VoxPopcast.

Olá, Letreiros, Letrados ou Letrandos. Neste episódio, discutiremos um pouco sobre a literatura ergódica, mais especificamente a literatura ergódica no jogo Life is Strange. Para isso, bateremos um papo com meu grande amigo Luiz Henrique Ferreira (luizferreira1910@hotmail.com), esperamos que vocês curtam. Gostou do trabalho e quer ler na íntegra? Acesse: https://drive.google.com/drive/folders/1m6Sk0z9jXHDsVRagbP6rfdjsoqQcUg0O?usp=sharing Mande sua dúvidas, sugestões ou críticas para letreiro.contato@gmail.com Apresentação e criação: Rictor Dantas (rycktor@gmail.com) Arte da capa: Paulo Roberto (paulorsg1997@gmail.com) Edição: biesek.net

Today we've got Matt Brocking sharing some stories. He was a former member of Kiss the Curse, Necrocosm and Ergodic, so you know we cover that, along with playing baseball and a few possibly controversial opinions. Oh ya, he's got some new music coming out, so make sure to give him a follow. Thanks to you all for an amazing couple months! 

Back on Jan 12, I went to Oakland to check out the False Prophet/Possessed show and got a chance to hang out with pioneering death metal guitarist/vocalist Paul Ray, the founding member of False prophet. We talked about all things Prophet- history, industry changes, band shakeups, long hiatuses, current Prophet activity, and Paul's mighty knobs! Paul is a very candid, very honest, and very down to earth dude that had a lot of enticing things to say about the state of the band and what we can expect from them in the new future! And of course, we talked about current guitarist Scott Pivarnick as well as Craig Gillespie from Divine Treachery and Matt Francis from Ergodic, both of whom are part of False Prophet's current lineup. Don't miss this rare backstage interview with a true legend! So Thanks, Paul! an absolute honor! Special Thanks to Scott Pivarnick for being the conduit! False Prophet Links: www.falseprophetofficial.com https://facebook.com/falseprophetnc   Misery Point Radio Links: https://facebook.com/miserypointradio https://miserypointradio.podbean.com Instagram: @miserypointradio Twitter: @MiseryPtRadio Subscribe on: iTunes, Google Play, I Heart Radio, Spotify,  Podbean  

Kim, Y Monday 23rd July 2018 - 14:45 to 15:30

Nicolas Monod teaches at the École polytechnique fédérale in Lausanne and leads the Ergodic and Geometric Group Theory group there. In May 2016 he was invited to give the Gauß lecture of the German Mathematical Society (DMV) at the Technical University in Dresden. He presented 100 Jahre Zweisamkeit – The Banach-Tarski Paradox. The morning after his lecture we met to talk about paradoxes and hidden assumptions our mind makes in struggling with geometrical representations and measures. A very well-known game is Tangram. Here a square is divided into seven pieces (which all are polygons). These pieces can be rearranged by moving them around on the table, e.g.. The task for the player is to form given shapes using the seven pieces – like a cat etc.. Of course the Tangram cat looks more like a flat Origami-cat. But we could take the Tangram idea and use thousands or millions of little pieces to build a much more realistic cat with them – as with pixels on a screen. In three dimensions one can play a similar game with pieces of a cube. This could lead to a LEGO-like three-dimensional cat for example. In this traditional Tangram game, there is no fundamental difference between the versions in dimension two and three. But in 1914 it was shown that given a three-dimensional ball, there exists a decomposition of this ball into a finite number of subsets, which can then be rearranged to yield two identical copies of the original ball. This sounds like a magical trick – or more scientifically said – like a paradoxical situation. It is now known under the name Banach-Tarski paradox. In his lecture, Nicolas Monod dealt with the question: Why are we so surprised about this result and think of it as paradoxical? One reason is the fact that we think to know deeply what we understand as volume and expect it to be preserved under rearrangements (like in the Tangram game, e.g.).Then the impact of the Banach-Tarski paradox is similar for our understanding of volume to the shift in understanding the relation between time and space through Einstein's relativity theory (which is from about the same time). In short the answer is: In our every day concept of volume we trust in too many good properties of it. It was Felix Hausdorff who looked at the axioms which should be valid for any measure (such as volume). It should be independent of the point in space where we measure (or the coordinate system) and if we divide objects, it should add up properly. In our understanding there is a third hidden property: The concept "volume" must make sense for every subset of space we choose to measure. Unfortunately, it is a big problem to assign a volume to any given object and Hausdorff showed that all three properties cannot all be true at the same time in three space dimensions. Couriously, they can be satisfied in two dimensions but not in three. Of course, we would like to understand why there is such a big difference between two and three space dimensions, that the naive concept of volume breaks down by going over to the third dimension. To see that let us consider motions. Any motion can be decomposed into translations (i.e. gliding) and rotations around an arbitrarily chosen common center. In two dimensions the order in which one performs several rotations around the same center does not matter since one can freely interchange all rotations and obtains the same result. In three dimensions this is not possible – in general the outcomes after interchanging the order of several rotations will be different. This break of the symmetry ruins the good properties of the naive concept of volume. Serious consequences of the Banach-Tarski paradox are not that obvious. Noone really duplicated a ball in real life. But measure theory is the basis of the whole probability theory and its countless applications. There, we have to understand several counter-intuitive concepts to have the right understanding of probabilities and risk. More anecdotally, an idea of Bruno Augenstein is that in particle physics certain transformations are reminiscent of the Banach-Tarski phenomenon. Nicolas Monod really enjoys the beauty and the liberty of mathematics. One does not have to believe anything without a proof. In his opinion, mathematics is the language of natural sciences and he considers himself as a linguist of this language. This means in particular to have a closer look at our thought processes in order to investigate both the richness and the limitations of our models of the universe. References: F. Hausdorff: Bemerkung über den Inhalt von Punktmengen. Math. Ann. 75 (3), 428–433, 1914. S. Banach and A.Tarski: Sur la décomposition des ensembles de points en parties respectivement congruentes, Fundamenta Mathematicae 6, 244–277, 1924. J. von Neumann: Zur allgemeinen Theorie des Maßes Fundamenta Mathematicae 13, 73–116, 1929. S. Wagon: The Banach–Tarski Paradox. Cambridge University Press, 1994. B.W. Augenstein: Links Between Physics and Set Theory, Chaos, Solitons and Fractals, 7 (11), 1761–1798, 1996. N. Monod: Groups of piecewise projective homeomorphisms, PNAS 110 (12), 4524-4527, 2013. Vsauce-Video on the Banach-Tarksi Paradox

Nicolas Monod teaches at the École polytechnique fédérale in Lausanne and leads the Ergodic and Geometric Group Theory group there. In May 2016 he was invited to give the Gauß lecture of the German Mathematical Society (DMV) at the Technical University in Dresden. He presented 100 Jahre Zweisamkeit – The Banach-Tarski Paradox. The morning after his lecture we met to talk about paradoxes and hidden assumptions our mind makes in struggling with geometrical representations and measures. A very well-known game is Tangram. Here a square is divided into seven pieces (which all are polygons). These pieces can be rearranged by moving them around on the table, e.g.. The task for the player is to form given shapes using the seven pieces – like a cat etc.. Of course the Tangram cat looks more like a flat Origami-cat. But we could take the Tangram idea and use thousands or millions of little pieces to build a much more realistic cat with them – as with pixels on a screen. In three dimensions one can play a similar game with pieces of a cube. This could lead to a LEGO-like three-dimensional cat for example. In this traditional Tangram game, there is no fundamental difference between the versions in dimension two and three. But in 1914 it was shown that given a three-dimensional ball, there exists a decomposition of this ball into a finite number of subsets, which can then be rearranged to yield two identical copies of the original ball. This sounds like a magical trick – or more scientifically said – like a paradoxical situation. It is now known under the name Banach-Tarski paradox. In his lecture, Nicolas Monod dealt with the question: Why are we so surprised about this result and think of it as paradoxical? One reason is the fact that we think to know deeply what we understand as volume and expect it to be preserved under rearrangements (like in the Tangram game, e.g.).Then the impact of the Banach-Tarski paradox is similar for our understanding of volume to the shift in understanding the relation between time and space through Einstein's relativity theory (which is from about the same time). In short the answer is: In our every day concept of volume we trust in too many good properties of it. It was Felix Hausdorff who looked at the axioms which should be valid for any measure (such as volume). It should be independent of the point in space where we measure (or the coordinate system) and if we divide objects, it should add up properly. In our understanding there is a third hidden property: The concept "volume" must make sense for every subset of space we choose to measure. Unfortunately, it is a big problem to assign a volume to any given object and Hausdorff showed that all three properties cannot all be true at the same time in three space dimensions. Couriously, they can be satisfied in two dimensions but not in three. Of course, we would like to understand why there is such a big difference between two and three space dimensions, that the naive concept of volume breaks down by going over to the third dimension. To see that let us consider motions. Any motion can be decomposed into translations (i.e. gliding) and rotations around an arbitrarily chosen common center. In two dimensions the order in which one performs several rotations around the same center does not matter since one can freely interchange all rotations and obtains the same result. In three dimensions this is not possible – in general the outcomes after interchanging the order of several rotations will be different. This break of the symmetry ruins the good properties of the naive concept of volume. Serious consequences of the Banach-Tarski paradox are not that obvious. Noone really duplicated a ball in real life. But measure theory is the basis of the whole probability theory and its countless applications. There, we have to understand several counter-intuitive concepts to have the right understanding of probabilities and risk. More anecdotally, an idea of Bruno Augenstein is that in particle physics certain transformations are reminiscent of the Banach-Tarski phenomenon. Nicolas Monod really enjoys the beauty and the liberty of mathematics. One does not have to believe anything without a proof. In his opinion, mathematics is the language of natural sciences and he considers himself as a linguist of this language. This means in particular to have a closer look at our thought processes in order to investigate both the richness and the limitations of our models of the universe. References: F. Hausdorff: Bemerkung über den Inhalt von Punktmengen. Math. Ann. 75 (3), 428–433, 1914. S. Banach and A.Tarski: Sur la décomposition des ensembles de points en parties respectivement congruentes, Fundamenta Mathematicae 6, 244–277, 1924. J. von Neumann: Zur allgemeinen Theorie des Maßes Fundamenta Mathematicae 13, 73–116, 1929. S. Wagon: The Banach–Tarski Paradox. Cambridge University Press, 1994. B.W. Augenstein: Links Between Physics and Set Theory, Chaos, Solitons and Fractals, 7 (11), 1761–1798, 1996. N. Monod: Groups of piecewise projective homeomorphisms, PNAS 110 (12), 4524-4527, 2013. Vsauce-Video on the Banach-Tarksi Paradox

Rojas-Molina, C (Ludwig-Maximilians-Universität München) Thursday 09 April 2015, 15:30-15:55

Smyshlyaev, V (University College London) Thursday 26 March 2015, 11:30-12:30

Auffinger, A (Northwestern University) Friday 20 March 2015, 11:30-12:30

Kachkovskiy, I (University of California, Irvine) Tuesday 24 March 2015, 11:30-12:30

Damanik, D (Rice University) Wednesday 07 January 2015, 09:00-10:00

Damanik, D (Rice University) Tuesday 06 January 2015, 13:30-14:30

Damanik, D (Rice University) Tuesday 06 January 2015, 11:30-12:30

Damanik, D (Rice University) Monday 05 January 2015, 10:00-11:00

This week marks the beginning of our very first Gobbledy-Book Club, in which we’ll be discussing the J.J. Abrams/Doug Dorst novel S. every week of February. For our first discussion, Paul and AJ talk the book’s first three chapters with the lovely Pam Smith, who may or may not be married to one of your dashing hosts. The gang discusses the book’s seriously ingenious book-within-a-book structure, the pervasive concept of multiple identities, the numerous thematic/stylistic ties to Abrams’ Lost, all those cool little inserts, and how exactly you’re supposed to read the damn thing. Plus, we pay our respects to the late, great Philip Seymour Hoffman. Next: the Gobbledy-Book Club continues with a discussion of chapters 4-6, pp. 111-259.

This thesis is about an operator algebraic approach towards the derivation of the electrical conductivity in disordered solid states based on the theory of quantum many-particle systems. Such an approach is of interest since it allows for the description of interacting electron gases, which is a feature not present in previous work. In the context of the description of ergodic media, new concepts are introduced, such as covariant states and covariant morphisms. Moreover, the concept of covariant states is combined with the well-known concept of KMS states. In its covariant form, KMS states describe electron gases in ergodic media at thermal equilibrium. Such states are the starting point of the electron gases considered here. An external electric field is applied to the system, influences the electron gas and causes internal electric currents. Thus, the equilibrium position of the system is disturbed, leading to a time evolution of the system, which is described by covariant automorphisms. Summing up, the system is given in a time dependent, covariant state that acts on the algebra of bounded and local operators on the fermionic Fock space defined over some given one-particle Hilbert space. For a discrete model of an extended electron gas in one space dimension with a pair interaction of finite range, explicit constructions of the above states are presented. In addition, for the special case of non-interacting electron gases, the construction of the time dependent covariant state is carried out in arbitrary space dimension. Since measurements in a quantum system are implemented by the action of its state on bounded, local and self-adjoint operators, the concept of a current density operator is introduced. The current density is then defined as the result of the measurement of the current density operator. By an application of Birkhoff’s ergodic theorem, the transformation law of the current density operator together with the covariant transformation law of the state of the electron gas implies the almost sure existence of the spatial mean of the current density. Moreover, the spatial mean current density is almost surely independent of the concrete realisation given. The electric current density describes the linear dependence of the spatial mean current density on the external electric field, for small strengths. Via linear response theory for the noninteracting model of an electron gas, an explicit expression for the current density is derived in terms of a so called Kubo formula. For the derivation the system needs to satisfy a localisation condition, which is specifically designed for non-interacting electron gases. In view of a linear response theory of interacting electron gases, candidates for a generalisation of this localisation criterion that also apply to interacting systems are introduced.

Klopp, F (Université Paris 13 Nord) Tuesday 16 December 2008, 15:30-16:30 Classical and Quantum Transport in the Presence of Disorder

Simon, B (CALTECH) Tuesday 16 December 2008, 09:00-10:00 Classical and Quantum Transport in the Presence of Disorder