Results 51 to 60 of about 305,985 (193)

Relative cubulation of relative strict hyperbolization

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley   +1 more source

ON THE STRUCTURE OF GRAPHS WHICH ARE LOCALLY INDISTINGUISHABLE FROM A LATTICE

Forum of Mathematics, Sigma, 2016
For each integer $d\geqslant 3$ , we obtain a characterization of all graphs in which the ball of radius
ITAI BENJAMINI, DAVID ELLIS
doaj   +1 more source

Asymmetric function theory

, 2019
The classical theory of symmetric functions has a central position in algebraic combinatorics, bridging aspects of representation theory, combinatorics, and enumerative geometry.
Allen Hatcher, Anders Skovsted Buch, Andrew Baker, B Yasmine, Bogdan Ion, C Lenart, Daniel Bump, David Anderson, E Dudley, Eric Opdam, Hugh Thomas, J Haglund, J Haglund, Masaki Kashiwara, Masaki Kashiwara, Masaki Kashiwara, Masaki Watanabe, Masaki Watanabe, Michiel Hazewinkel, N Ganter, Nantel Bergeron, Oliver Pechenik, Paul Bressler, Pavel Galashin, PN Norton, Rudolf Winkel, S Assaf, S Assaf, S Mason, Sara C Billey, Sergey Fomin, Thomas Hudson, V Reiner, Vasu V Tewari, W George, William Fulton, Witold Kraśkiewicz   +36 more
core   +1 more source

A formula for the number of tilings of an octagon by rhombi [PDF]

, 2004
We propose the first algebraic determinantal formula to enumerate tilings of a centro-symmetric octagon of any size by rhombi. This result uses the Gessel-Viennot technique and generalizes to any octagon a formula given by Elnitsky in a special case ...
Bailly, F., Destainville, N., Mosseri, R.   +2 more
core   +4 more sources

Lattices in function fields and applications

Mathematika, Volume 71, Issue 2, April 2025.
Abstract In recent decades, the use of ideas from Minkowski's Geometry of Numbers has gained recognition as a helpful tool in bounding the number of solutions to modular congruences with variables from short intervals. In 1941, Mahler introduced an analogue to the Geometry of Numbers in function fields over finite fields.
Christian Bagshaw, Bryce Kerr
wiley   +1 more source

Hopf algebras and the combinatorics of connected graphs in quantum field theory

, 2008
In this talk, we are concerned with the formulation and understanding of the combinatorics of time-ordered n-point functions in terms of the Hopf algebra of field operators.
Mestre, Angela, Oeckl, Robert
core   +1 more source

Combinatorics of renormalization as matrix calculus [PDF]

, 2005
We give a simple presentation of the combinatorics of renormalization in perturbative quantum field theory in terms of triangular matrices. The prescription, that may be of calculational value, is derived from first principles, to wit, the ``Birkhoff ...
't Hooft, Atkinson, Broadhurst, Caswell, Collins, Connes, Connes, Ebrahimi-Fard, Ebrahimi-Fard, Figueroa, Joseph C. Várilly, José M. Gracia-Bondía, Kleinert, Kreimer, Kreimer, Kurusch Ebrahimi-Fard, Li Guo, Pivovarov   +17 more
core   +2 more sources

A sharp higher order Sobolev embedding

Mathematika, Volume 71, Issue 2, April 2025.
Abstract We obtain sharp embeddings from the Sobolev space W0k,2(−1,1)$W^{k,2}_0(-1,1)$ into the space L1(−1,1)$L^1(-1,1)$ and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin.
Raul Hindov, Shahaf Nitzan, Jan‐Fredrik Olsen, Eskil Rydhe   +3 more
wiley   +1 more source

Bayer noise quasisymmetric functions and some combinatorial algebraic structures [PDF]

Categories and General Algebraic Structures with Applications
Recently, quasisymmetric functions have been widely studied due to their big connection to enumerative combinatorics, combinatorial Hopf algebra and number theory.
Adnan Abdulwahid
doaj   +1 more source

Enumeration of three term arithmetic progressions in fixed density sets [PDF]

, 2014
Additive combinatorics is built around the famous theorem by Szemer\'edi which asserts existence of arithmetic progressions of any length among the integers. There exist several different proofs of the theorem based on very different techniques.
Sjöland, Erik
core