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2D Locus Configurations and the Charged Trigonometric Calogero-Moser System
2D Locus Configurations Charged Trigonometric Calogero-Moser System
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2011/2/25
A central hyperplane arrangement in C2 with multiplicity is called a ‘locus configuration’ if it satisfies a series of ‘locus equations’ on each hyperplane.Following [CFV99].
Decay of linear waves on higher dimensional Schwarzschild black holes
Decay of linear waves higher dimensional Schwarzschild black holes
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2011/3/4
In this paper we consider solutions to the linear wave equation on higher dimensional Schwarzschild black hole spacetimes and prove robust nondegenerate energy decay estimates that are in principle re...
Poincaré inequalities and hitting times
Poincar´ e inequalities Lyapunov functions hitting times log-concave measures
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2011/2/25
Equivalence of the spectral gap, exponential integrability of hitting times and Lyapunov conditions are well known. We give here the correspondance (with quantitative results) for reversible diffusion...
A Statistical Measure of Complexity
Statistical Measure Complexity
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2010/12/15
Completing Aronov et al.’s study on zero-discrepancymatrices for digital halftoning, we determine all (m, n, k, l) for which it is possible to put mn consecutive integers on an m × n board (with wrap-...
A supergeometric approach to Poisson reduction
supergeometric approach Poisson reduction
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2010/11/30
This work introduces a unified approach to the reduction of Poisson manifolds using their description by graded symplectic manifolds. This yields a generalization of the classical Poisson reduction by...
Molecular Distributions in Gene Regulatory Dynamics
Stochastic modelling；inducible/repressible operon
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2010/12/16
We show how one may analytically compute the stationary density of the distribution of molecular constituents in populations of cells in the presence of noise arising from either bursting transcriptio...