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Lattice Isomorphism Problem Studied

Modernity/arxiv 3h2h Impact 7
A new paper introduces and studies finite free perpetuities, defined as monic polynomial solutions of a specific degree to an affine fixed-point equation. A new paper by Fansu Wei and colleagues explores the observation of anyonic thermodynamics and a generalized Pauli principle. Researchers are investigating the equilibrium and non-equilibrium thermodynamics of one-dimensional photonic diamond lattices with Kerr nonlinearity. The study focuses on the equilibrium phase of these systems.

Topics

mathematics polynomials research

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Sources · 7 independent

Modernity/arxiv

“Climate Policy and The Energy Transition. Authors: Roy Sarkis Abstract: This paper studies the macroeconomic dynamics of climate policy in a multi-sector dynamic general equilibrium model with renewable and non-renewable energy, sector-speci...”

Modernity/arxiv

“Thermodynamics of photonic nonlinear Aharonov-Bohm cages. Authors: Stefano Iubini, Carlo Danieli Abstract: We investigate equilibrium and non-equilibrium thermodynamics of one-dimensional photonic diamond lattices with Kerr nonlinearity. The equilibrium pha...”

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Modernity/arxiv

“On (Non-)Isomorphism of Self-Dual Lattices and Codes. Authors: Huck Bennett, Kyle Fridberg Abstract: A recent line of work motivated by cryptographic applications has studied the complexity of the Lattice Isomorphism Problem (LIP). In this work, we stud...”

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