Invariant measures from locally bounded orbits
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DOI: 10.1007/s00025-024-02204-5
Abstract: Motivated by recent investigations of Sophie Grivaux and Étienne Matheron on the existence of invariant measures in Linear Dynamics, we introduce the concept of locally bounded orbit for a continuous linear operator T:X⟶X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}… read more here.
Keywords: locally bounded; document; measures locally; bounded orbits ... See more keywords
Gibbs Measures Over Locally Tree-Like Graphs and Percolative Entropy Over Infinite Regular Trees
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DOI: 10.1007/s10955-018-1959-3
Abstract: Consider a statistical physical model on the d-regular infinite tree $$T_{d}$$Td described by a set of interactions $$\Phi $$Φ. Let $$\{G_{n}\}$${Gn} be a sequence of finite graphs with vertex sets $$V_n$$Vn that locally converge to… read more here.
Keywords: entropy; measures locally; percolative entropy; gibbs measures ... See more keywords