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VERTEXWISE CRITERIA FOR ADMISSIBILITY OF ALCOVES
ALCOVES ADMISSIBILITY
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2015/9/29
We give a new description of the set Adm() of admissible alcoves as an intersection of certain \obtuse cones" of alcoves, and we show this description may be given by
imposing conditions vertexwise....
A PROOF OF THE KAZHDAN-LUSZTIG PURITY THEOREM VIA THE DECOMPOSITION THEOREM OF BBD
KAZHDAN-LUSZTIG DECOMPOSITION
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2015/9/29
The ˉrst ingredient is quite deep, and we will not say anything much about its
proof, using it simply as a \black box". The second ingredient is elementary, and
we take this opportunity to present a...
Averaging of incompressible flows on two-dimensional surfaces
Averaging Markov Process Incompressible Flow Gluing Conditions Diffusion on a Graph
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2015/9/25
We consider a process on a compact two-dimensional surface which consists of the fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise t...
PARAMETER CHOICE FOR FAMILIES OF MAPS WITH MANY CRITICAL POINTS
PARAMETER CHOICE MAPS WITH MANY CRITICAL POINTS
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2015/9/25
We consider families of smooth one-dimensional maps with several critical points and outline the main ideas of the construction in the parameter space that allows to get infinite Markov Partitions and...
Lamplighters, metabelian groups, and horocyclic products of trees
trees metabelian groups
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2015/8/26
Bartholdi, Neuhauser and Woess proved that a family of metabelian groups including lamplighters have a striking geometric manifestation as 1-skeleta of horocyclic products of trees. The purpose of thi...
Extrinsic versus intrinsic diameter for Riemannian filling-discs and van Kampen diagrams
Riemannian filling-discs van Kampen diagrams
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2015/8/26
The diameter of a disc filling a loop in the universal covering of a Riemannian manifold M may be measured extrinsically using the distance function on the ambient space or intrinsically using the ind...
Free and fragmenting filling length
Free fragmenting filling length
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2015/8/26
The filling length of an edge-circuit \eta in the Cayley 2-complex of a finite presentation of a group is the minimal integer length L such that there is a combinatorial null-homotopy of \eta down to ...
Some duality conjectures for finite graphs and their group theoretic consequences
finite graphs group theoretic consequences
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2015/8/26
We pose some graph theoretic conjectures about duality and the diameter of maximal trees in planar graphs, and we describe innovations in the following two topics in Geometric Group Theory, where the ...
The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions
almost-convexity geodesic-combability
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2015/8/26
We examine the geometry of the word problem of two different types groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restric...
The Dehn function of Baumslag's metabelian group
Baumslag's metabelian group Cm-wreath-Z
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2015/8/26
Baumslag's group is a finitely presented metabelian group with a Z–wreath–Z subgroup. There is an analogue with an additional torsion relation in which this subgroup becomes Cm–wreath–Z. We prove that...
Random walks on finite rank solvable groups
random walk heat kernel decay asymptotic invariants of infinite groups Prüfer rank – solvable group
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2015/8/26
We establish the lower bound p2t (e, e) exp(−t1/3), for the large times asymptotic
behaviours of the probabilities p2t (e, e) of return to the origin at even times 2t, for
random walks assoc...
Transition operators on co-compact G-spaces
co-compact G-spaces Transition operator
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2015/8/26
We develop methods for studying transition operators on metric
spaces that are invariant under a co-compact group which acts properly.
A basic requirement is a decomposition of such operators with
...
HARNACK INEQUALITY AND HYPERBOLICITY FOR SUBELLIPTIC p-LAPLACIANS WITH APPLICATIONS TO PICARD TYPE THEOREMS
HARNACK INEQUALITY HYPERBOLICITY
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2015/8/26
Let M be a complete non-compact Riemannian manifold. For p ∈ (1,+∞),
let Δp be the p-Laplace operator on M. One says that M is p-hyperbolic
if there exists a Green function for Δp (see [Ho1,2]); oth...
AN EXPLICIT JACOBIAN OF DIMENSION 3 WITH MAXIMAL GALOIS ACTION
EXPLICIT JACOBIAN DIMENSION 3 MAXIMAL GALOIS ACTION
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2015/8/26
We gives an explicit genus 3 curve over Q such that the Galois action on the torsion points of its Jacobian is a large as possible. That such curves exist is a consequence of a theorem of D. Zureick-B...
A GEOMETRIC VIEW OF RATIONAL LANDEN TRANSFORMATIONS
GEOMETRIC VIEW LANDEN TRANSFORMATIONS
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2015/8/26
In this paper, a geometric interpretation is provided of a new rational Landen transformation. The convergence of its iterates is also established.