Results 41 to 50 of about 43,330 (108)
Local spectral estimates and quantitative weak mixing for substitution Z${\mathbb {Z}}$‐actions
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract The paper investigates Hölder and log‐Hölder regularity of spectral measures for weakly mixing substitutions and the related question of quantitative weak mixing. It is assumed that the substitution is primitive, aperiodic, and its substitution matrix is irreducible over the rationals.
Alexander I. Bufetov +2 more
wiley +1 more source
Abstract and Applied Analysis, 2013 We introduce two new concepts of weakly relaxed η-α monotone mappings and weakly relaxed η-α semimonotone mappings. Using the KKM technique, the existence of solutions for variational-like problems with weakly relaxed η-α monotone mapping in reflexive ...
Marwan Amin Kutbi, Wutiphol Sintunavarat
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Substitutions on compact alphabets
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We develop a systematic approach to continuous substitutions on compact Hausdorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important features of the topological dynamics of their (generalised) subshifts.
Neil Mañibo, Dan Rust, James J. Walton
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Journal of Function Spaces, 2018 In this article, we prove the existence of solutions for the generalized Bagley-Torvik type fractional order differential inclusions with nonlocal conditions. It allows applying the noncompactness measure of Hausdorff, fractional calculus theory, and the
Lizhen Chen, Gang Li
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On Sequences With Exponentially Distributed Gaps
Random Structures &Algorithms, Volume 66, Issue 1, January 2025.ABSTRACT It is well known that a sequence (xn)n∈ℕ⊆[0,1]$$ {\left({x}_n\right)}_{n\in \mathbb{N}}\subseteq \left[0,1\right] $$ which has Poissonian correlations of all orders necessarily has exponentially distributed nearest‐neighbor gaps. It is natural to ask whether this implication also holds in the other direction, that is, whether a sequence with ...
Christoph Aistleitner +2 more
wiley +1 more source
Combinatorial Proof of Kakutani's Fixed Point Theorem
, 2018 Kakutani's fixed point theorem is a generalization of Brouwer's fixed point theorem to upper semicontinuous multivalued maps and is used extensively in game theory and other areas of economics. Earlier works have shown that Sperner's lemma implies Brouwer's theorem.
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The Stability of Stationary Equilibria of Mean Field Games With Finite State and Action Space
Journal of Function Spaces, Volume 2025, Issue 1, 2025.The aim of this paper is to study some new stability results on the essential component and generic uniqueness of stationary equilibria for mean field games with finite state and action space (briefly, FSASMFG). A group of FSASMFGs comprises a dense residual subset such that every point of stationary mean field equilibrium (briefly, SMFE) is essential.
Luping Liu, Wensheng Jia, Gisele Mophou
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Kakutani's fixed point theorem in constructive mathematics
, 2016 In this paper we consider Kakutani's extension of the Brouwer fixed point theorem within the framework of Bishop's constructive mathematics. Kakutani's fixed point theorem is classically equivalent to Brouwer's fixed point theorem. The constructive proof of (an approximate) Brouwer's fixed point theorem relies on a finite combinatorial argument ...
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Dynamics of nonlinear stochastic operators and associated Markov measures
Mathematical Methods in the Applied Sciences, Volume 47, Issue 17, Page 13300-13312, 30 November 2024.The aim of this paper is to examine the stability of a class of nonlinear stochastic operators on a finite‐dimensional simplex. We identify a number of properties of the set of the class of stochastic operators, including the stability of each operator.
Uygun Jamilov +3 more
wiley +1 more source
Substitutions and their Generalisations
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract Tilings and point sets arising from substitutions are classical mathematical models of quasicrystals. Their hierarchical structure allows one to obtain concrete answers regarding spectral questions tied to the underlying measures and potentials.
Neil Mañibo
wiley +1 more source