Results 51 to 60 of about 776 (182)
ENUMERATIVE COMBINATORICS ON DETERMINANTS AND SIGNED BIGRASSMANNIAN POLYNOMIALS
, 2015 As an application of linear algebra for enumerative combinatorics, we introduce two new ideas, signed bigrassmannian polynomials and bigrassmannian determinant.
Kobayashi, Masato
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
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On the ET0L subgroup membership problem in bounded automata groups
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We are interested in the subgroup membership problem in groups acting on rooted d$d$‐regular trees and a natural class of subgroups, the stabilisers of infinite rays emanating from the root. These rays, which can also be viewed as infinite words in the alphabet with d$d$ letters, form the boundary of the tree.
Alex Bishop +5 more
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Combinatorics of H-primes in quantum matrices [PDF]
, 2006 For q epsilon C transcendental over Q, we give an algorithmic construction of an order-isomorphism between the set of H-primes of O-q (M-n (C)) and the sub-poset S of the (reverse) Bruhat order of the symmetric group S-2n consisting of those permutations
Stéphane Launois, Launois, Stephane
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Universal gap growth for Lyapunov exponents of perturbed matrix products
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We study the quantitative simplicity of the Lyapunov spectrum of d$d$‐dimensional bounded matrix cocycles subjected to additive random perturbations. In dimensions 2 and 3, we establish explicit lower bounds on the gaps between consecutive Lyapunov exponents of the perturbed cocycle, depending only on the scale of the perturbation.
Jason Atnip +3 more
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Dynamic staged trees for discrete multivariate time series : forecasting, model selection and causal analysis [PDF]
, 2010 A new tree-based graphical model — the dynamic staged tree — is used to model discrete-valued discrete-time multivariate processes which are hypothesised to exhibit certain symmetries concerning how situations might unfold.
Smith, JQ +5 more
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Non‐vanishing of Poincaré series on average
Mathematika, Volume 72, Issue 2, April 2026.Abstract We study when Poincaré series for congruence subgroups do not vanish identically. We show that almost all Poincaré series with suitable parameters do not vanish when either the weight k$k$ or the index m$m$ varies in a dyadic interval. Crucially, analyzing the problem ‘on average’ over these weights or indices allows us to prove non‐vanishing ...
Ned Carmichael, Noam Kimmel
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Discrepancy of arithmetic progressions in boxes and convex bodies
Mathematika, Volume 72, Issue 2, April 2026.Abstract The combinatorial discrepancy of arithmetic progressions inside [N]:={1,…,N}$[N]:= \lbrace 1, \ldots, N\rbrace$ is the smallest integer D$D$ for which [N]$[N]$ can be colored with two colors so that any arithmetic progression in [N]$[N]$ contains at most D$D$ more elements from one color class than the other.
Lily Li, Aleksandar Nikolov
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, 2009 In Richard P. Stanley's 1986 text, Enumerative Combinatorics, the following problem is posed: Fix a natural number k.
Klippenstine, Ryan +1 more
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Symbolic Enumerative Combinatorics and Complex Asymptotic Analysis
, 2002 Complex analysis is a fruitful source of asymptotic estimates in enumerative ...
Le Borgne +4 more
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