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49 papers · 1 filter
Defects in semilinear wave equations and timelike minimal surfaces in Minkowski space
Robert L. Jerrard
We study semilinear wave equations with Ginzburg-Landau type nonlinearities multiplied by a factor , where is a small parameter. We prove that for suitable initial da…
Interplay between writhe and knotting for swollen and compact polymers
Marco Baiesi, Enzo Orlandini, Stuart G. Whittington
The role of the topology and its relation with the geometry of biopolymers under different physical conditions is a nontrivial and interesting problem. Aiming at understanding this…
Beyond Equilibria: Mechanisms for Repeated Combinatorial Auctions
Brendan Lucier
We study the design of mechanisms in combinatorial auction domains. We focus on settings where the auction is repeated, motivated by auctions for licenses or advertising space. We…
SV Cen reveals its mystery
Michal Siwak, Stanislaw Zola, Slavek Rucinski
Our very-first high resolution spectra of SV Cen close binary system obtained in the H alpha line reveal its absorption and emmision components, changing with orbital phase. An acc…
Some Dimensions of Spaces of Finite Type Invariants of Virtual Knots
Dror Bar-Natan, Iva Halacheva, Louis Leung +1
We compute many dimensions of spaces of finite type invariants of virtual knots (of several kinds) and the dimensions of the corresponding spaces of "weight systems", finding every…
Localization and Perron--Frobenius theory for directed polymers
Yuri Bakhtin, Konstantin Khanin
We consider directed polymers in a random potential given by a deterministic profile with a strong maximum at the origin taken with random sign at each integer time. We study two m…