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Here there be dragons | Exploring the subgroups of non-positively curved groups

Exploring the subgroups of non-positively curved groups

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Here there be dragons | Exploring the subgroups of non-positively curved groups | berstein.wordpress.com Reviews
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Here there be dragons | Exploring the subgroups of non-positively curved groups | berstein.wordpress.com Reviews

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Exploring the subgroups of non-positively curved groups

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Non-positively curved groups II – hyperbolic groups | Here there be dragons

https://berstein.wordpress.com/2011/02/13/non-positively-curved-groups-ii-hyperbolic-groups

Here there be dragons. Exploring the subgroups of non-positively curved groups. Non-positively curved groups I – CAT(0) and CAT(-1) groups. Non-positively curved groups III combable, automatic, semi-hyperbolic, and all that →. Non-positively curved groups II – hyperbolic groups. February 13, 2011. In this post and the next we will survey an assortment of intrinsic properties groups can enjoy that bear vestiges of non-positive curvature. We will focus here on. Suppose that a group. Is CAT(0) or CAT(-1).

2

Quasi-convex subgroups of hyperbolic groups | Here there be dragons

https://berstein.wordpress.com/2011/02/23/quasi-convex-subgroups-of-hyperbolic-groups

Here there be dragons. Exploring the subgroups of non-positively curved groups. Non-positively curved groups IV – quadratic isoperimetric functions. Well behaved subgroups of non-positively curved groups →. Quasi-convex subgroups of hyperbolic groups. February 23, 2011. Our main source for this post is Bridson and Haefliger’s book [BrH]. However, the material has origins in. Alonso, T. Brady, Cooper, Ferlini, Lustig, Mihalik, Shapiro and Short (also ed.),. Ghys and de al Harpe,. Of a geodesic metric space.

3

berstein | Here there be dragons

https://berstein.wordpress.com/author/berstein

Here there be dragons. Exploring the subgroups of non-positively curved groups. Berstein is the name under which participants in the Berstein Seminar - a mathematics seminar at Cornell - are blogging. Farewell (and what did we miss? July 7, 2011. 8220;I believe in everything until it’s disproved. So I believe in fairies, the myths, dragons.” — John Lennon Our tour of subgroups of non–positively curved groups has reached its end. What did we miss? Cannon-Thurston maps for graphs of groups. July 3, 2011.

4

Cannon-Thurston maps for graphs of groups | Here there be dragons

https://berstein.wordpress.com/2011/07/03/cannon-thurston-maps-for-graphs-of-groups

Here there be dragons. Exploring the subgroups of non-positively curved groups. Boundaries of Hyperbolic Groups. Farewell (and what did we miss? Cannon-Thurston maps for graphs of groups. July 3, 2011. Recall from our last post. That given an infinite hyperbolic subgroup. Of a hyperbolic group. The extension of the inclusion. Map By the continuity of. If such a map exists it’s unique. Clearly a Cannon-Thurston map exists: equivalent geodesics in. Are mapped to equivalent quasi-geodesics in. Does not exte...

5

Dehn functions of subgroups of CAT(0) groups | Here there be dragons

https://berstein.wordpress.com/2011/05/19/dehn-functions-of-subgroups-of-cat0-groups-2

Here there be dragons. Exploring the subgroups of non-positively curved groups. Fibre products and the membership problem. A finitely presented non-hyperbolic subgroup of a hyperbolic group →. Dehn functions of subgroups of CAT(0) groups. May 19, 2011. This is a post based on a guest lecture by Pallavi Dani. In this post, we will discuss Dehn functions of subgroups of non-positively curved groups. Let. Be a finitely presented group and let. Be a presentation complex for some presentation of. Is a loop in.

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BI: the Bestvina-Bromberg-Fujiwara construction | Alex Sisto

https://alexsisto.wordpress.com/2013/12/11/bi-the-bestvina-bromberg-fujiwara-construction

Alessandro Sisto's math blog. About me and this blog. Science is too valuable not to be free. An even shorter proof that curve graphs are hyperbolic. BI: the Bestvina-Bromberg-Fujiwara construction. December 11, 2013. This post is about a remarkable construction due to Bestvina-Bromberg-Fujiwara. It has been first used to show that the asymptotic dimension of Mapping Class Groups is finite, and it is quite useful, for example, in this great paper. By Dahmani-Guirardel-Osin (and I used it here. Now, consi...

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Just for fun: genus 2 madness in Bonn | Alex Sisto

https://alexsisto.wordpress.com/2012/10/12/just-for-fun-genus-2-madness-in-bonn

Alessandro Sisto's math blog. About me and this blog. Science is too valuable not to be free. BI: Finite decomposition complexity (is preserved by relative hyperbolicity). Tracking of random walks with geodesics →. Just for fun: genus 2 madness in Bonn. October 12, 2012. Real life model of the L-surface, realised by Mark Pedron with the help of Dawid Kielak. Yeah, too much light, I know… Clearer one:. Explanation on the blackboard:. The cone point. Behold the negative curvature! Leave a Reply Cancel reply.

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Tracking of random walks with geodesics | Alex Sisto

https://alexsisto.wordpress.com/2013/01/28/tracking-of-random-walks-with-geodesics

Alessandro Sisto's math blog. About me and this blog. Science is too valuable not to be free. Just for fun: genus 2 madness in Bonn. Hyperbolicity of the curve graph: the proof from The Book →. Tracking of random walks with geodesics. January 28, 2013. In this post I’ll tell you about a property of random walks on hyperbolic groups. To make a random walk on a group. Just start from the identity in the Cayley graph, then move to a neighbor with uniform probability and keep going. You have for each. Into t...

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BI: Guessing geodesics in hyperbolic spaces | Alex Sisto

https://alexsisto.wordpress.com/2012/07/16/bi-guessing-geodesics-in-hyperbolic-spaces

Alessandro Sisto's math blog. About me and this blog. Science is too valuable not to be free. BI: Teichmüller space, part I. BI: Finite decomposition complexity (is preserved by relative hyperbolicity) →. BI: Guessing geodesics in hyperbolic spaces. July 16, 2012. In this post I’ll discuss a cool lemma due to Brian Bowditch (from this paper. Which is very useful when you want to show that a space is hyperbolic. The most direct way of showing that. Is hyperbolic is trying to figure out how geodesics in.

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BI: Finite decomposition complexity (is preserved by relative hyperbolicity) | Alex Sisto

https://alexsisto.wordpress.com/2012/10/03/bi-finite-decomposition-complexity-is-preserved-by-relative-hyperbolicity

Alessandro Sisto's math blog. About me and this blog. Science is too valuable not to be free. BI: Guessing geodesics in hyperbolic spaces. Just for fun: genus 2 madness in Bonn →. BI: Finite decomposition complexity (is preserved by relative hyperbolicity). October 3, 2012. In this post I’ll define finite decomposition complexity (FDC) for you, tell you what it’s good for (Stable Borel Conjecture! And point out that an argument by Osin shows that it is preserved by relative hyperbolicity. Stabilisation p...

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Almost all continuous functions are nowhere differentiable | Mathematical Notes

https://chiasme.wordpress.com/2013/05/18/almost-all-continuous-functions-are-nowhere-differentiable

On some mathematical topics I found interesting. Almost all continuous functions are nowhere differentiable. Is a Baire space if a countable intersection of open dense sets is still dense in. Then Baire category theorem consists in:. Baire) A complete metric space is a Baire space. It is a surprising consequence of Baire category theorem that almost all continuous functions are nowhere differentiable in the following sense: Let. Be the set of continuous functions. Endowed with the sup norm. Then, for all.

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Free groups acting on the circle | Mathematical Notes

https://chiasme.wordpress.com/2014/02/27/free-groups-acting-on-the-circle

On some mathematical topics I found interesting. Free groups acting on the circle. We present here an unusual application of Baire category theorem between topology, group theory and dynamical systems. Roughly speaking, we prove that almost all pairs of homeomorphisms of the circle are unrelated; in particular, it leads to natural occurrences of free groups. More precisely, if. Denotes the set of orientation-preserving homeomorphisms of the circle, endowed with the distance. The set of pairs. And show th...

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armandotk | Coloquio Oleis

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Los seguidores de Manolo. Que m* es esto? Problema de la Semana. Mensaje al gremio de la tiza investigadora. Ya que estan para explicar temas dificiles. On Jueves 2, abril, 2009. Quien sabe resolver el te(ore)ma de la SUME? Como se puede utilizar o al menos esbozar una posible resolucion y entender para que deberia servirnos. 9654; View 4 Comments. Suscripción por correo electrónico. Únete a otros 54 seguidores. Análisis Real y Complejo. Construcciones aritméticas parte 2. Notas de Caminatas al azar.

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2015 | Coloquio Oleis

https://coloquiooleis.wordpress.com/2015

Los seguidores de Manolo. Que m* es esto? Problema de la Semana. Archive for 2015 Yearly archive page. Construcciones aritméticas parte 2. On Miércoles 5, agosto, 2015. El plan ahora es contar otro tipo de construcción aritmética que da lugar a subgrupos. De co-volumen finito de. Es decir, modulo torsion, variedades de volumen finito modeladas en. Y sobre el final vamos a enunciar la formula para calcular el co-volumen de. En términos de las cuestiones aritméticas que aparecen en su construcción. En pos ...

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Here there be dragons | Exploring the subgroups of non-positively curved groups

Here there be dragons. Exploring the subgroups of non-positively curved groups. Farewell (and what did we miss? July 7, 2011. 8220;I believe in everything until it’s disproved. So I believe in fairies, the myths, dragons.” — John Lennon. Our tour of subgroups of non–positively curved groups has reached its end. What did we miss? Probably lots — apologies to any aggrieved authors out there. Here are a couple of corners of the landscape that we are conscious of having failed to explore. July 3, 2011. Is a ...

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Exploring the works of Gilbert Baumslag | The Berstein Seminar, Spring 2015, Cornell Mathematics Department

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