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[2602.18129] Stuck Knots: Rigidity, Invariants, and Unsticking Distance

2026年2月20日 - introduce a {\it relaxed isotopy} framework and define the {\it unsticking distance}, a geometric measure quantifying the minimal number of ...
arxiv.org

[2608.00249] Dynamical principles of habituation across substrates and scales

2026年7月31日 - show that linear time-invariant systems are structurally incompatible with these constraints, and construct nonlinear motifs---linear fading...
arxiv.org

[2602.09899v1] Remarks on modules of finite projective dimension

2026年2月10日 - and relate these findings to the grade conjecture and other homological conjectures. Applications include new cases of a question of Jorgens...
arxiv.org

[2605.23009] A Complete Spectral Analysis of the CEV Operator with Applications to Arbitrage

2026年5月21日 - and eigenfunctions across all elasticity regimes. We then relate these spectral features to arbitrage phenomena in the CEV model, showing ho...
arxiv.org

[2608.12562] Diffusion and Solvation Dynamics of Ions in Water: Beyond the Brownian Approximation

2026年8月12日 - ions have several rattling frequencies within their solvations shells as previously reported for a subset of the species examined here. Thes...
arxiv.org

[2604.18483] Steadily moving semi-infinite fracture in plane poroelasticity

2026年4月20日 - we derive boundary integral equations for steadily moving fractures under the adopted hydraulic boundary conditions. These equations relate ...
arxiv.org

[2601.10934v3] Invariant Algebraic $D$-Modules on Connected Reductive Groups

2026年1月16日 - every invariant $D$-module is obtained by pullback along the determinant map, reducing the classification to the one-dimensional torus case...
arxiv.org

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