output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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62 papers · 1 filter

math.GR2023

Complete Embeddings of Groups

Martin R. Bridson, Hamish Short

Every countable group can be embedded in a finitely generated group that is hopfian and complete, i.e. has trivial centre and every epimorphism is an i…

math.DS2023

On the complexity of polygonal billiards

Tyll Krueger, Arnaldo Nogueira, Serge Troubetzkoy

We show that the complexity of the billiard in a typical polygon grows cubically and the number of saddle connections grows quadratically along certain subsequences. It is known th…

math.CA2023

Sharp estimates for distinguished random walks on affine buildings of type Ar

Jean-Philippe Anker, Bruno Schapira, Bartosz Trojan

We study a distinguished random walk on affine buildings of type Ar , which was already considered by Cartwright, Saloff-Coste and Woess. In rank r=2, it is the simple random walk…

math.RT2023

A local twisted trace formula for Whittaker induction of coregular symmetric pairs: the geometric side

Raphaël Beuzart-Plessis, Chen Wan

In this paper, we prove the geometric expansion of a local twisted trace formula for the Whittaker induction of any symmetric pairs that are coregular. This generalizes the local (…

math.AP2023

Potential flows away from stagnation in infinite cylinders

François Hamel, Aram Karakhanyan

Steady incompressible potential flows of an inviscid or viscous fluid are considered in infinite N-dimensional cylinders with tangential boundary conditions. We show that such flow…

math.RT2023

Decomposition numbers for unipotent blocks with small -weight in finite classical groups

Olivier Dudas, Emily Norton

We show that parabolic Kazhdan-Lusztig polynomials of type compute the decomposition numbers in certain Harish-Chandra series of unipotent characters of finite groups of Lie ty…