Results 51 to 60 of about 13,678 (125)
Modular knots, automorphic forms, and the Rademacher symbols for triangle groups. [PDF]
Res Math Sci, 2023 Matsusaka T, Ueki J.
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An extension of the cogrowth formula to arbitrary subsets of the tree
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract What is the probability that a random walk in the free group ends in a proper power? Or in a primitive element? We present a formula that computes the exponential decay rate of the probability that a random walk on a regular tree ends in a given subset, in terms of the exponential decay rate of the analogous probability of the non‐backtracking
Doron Puder
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Coxeter's enumeration of Coxeter groups
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
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A theorem concerning Fourier transforms: A survey
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
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Counting Salem Numbers of Arithmetic Hyperbolic 3-Orbifolds. [PDF]
Bull Braz Math Soc, 2022 Belolipetsky M +3 more
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Combination theorems for Wise's power alternative
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen +2 more
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Automorphic Bloch theorems for hyperbolic lattices. [PDF]
Proc Natl Acad Sci U S A, 2022 Maciejko J, Rayan S.
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Siegel–Veech constants for cyclic covers of generic translation surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
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On a rigidity property for quadratic gauss sums
Mathematika, Volume 72, Issue 1, January 2026.Abstract Let N$N$ be a large prime and let c>1/4$c > 1/4$. We prove that if f$f$ is a ±1$\pm 1$‐valued multiplicative function, such that the exponential sums Sf(a):=∑1⩽n
Alexander P. Mangerel
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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.Rumor propagation significantly impacts both individual well‐being and societal stability, with various factors influencing its spread. While existing research has primarily focused on the role of interpersonal familiarity in rumor diffusion, this study introduces a different perspective: an individual’s familiarity with the subject matter itself plays
Weijun Yan, Yuhan Hu, Mengxin Chen
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