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Homogenization of one-phase Stefan-type problems in periodic and random media
one-phase Stefan-type periodic random
2015/10/15
We investigate the homogenization of Stefan-type problems with oscillating diffusion coefficients. Both cases of periodic and random (stationary ergodic) medium are considered. The proof relies on the...
The objective of this paper is the linear reconstruction of a vector, up to a unimodular constant, when all phase information is lost, meaning only the magnitudes of frame coefficients are known. Reco...
In this paper we study the property of phase retrievability by redundant sysems of vectors under perturbations of the frame set. Specifically we show that if a set F of m vectors in the complex Hilber...
Stability of Phase Retrievable Frames
Frames phase retrieval problem perturbations critical redundancy
2015/9/29
In this paper we study the property of phase retrievability by redundant sysems of vectors under perturbations of the frame set. Specifically we show that if a set F of m vectors in the complex Hilber...
The glassy phase of Gallager codes
UMR 8549, Unit′e Mixte de Recherche du Centre National de la Recherche Scientifi que et de l’ Ecole Normale Sup′erieure
2015/8/21
Gallager codes are the best error-correcting codes to-date. In this paper we study them by using the tools of statistical mechanics. The corresponding statistical mechanics model is a spin model on a ...
Hierarchical Abstraction of Phase Response Curves of Synchronized Systems of Coupled Oscillators
Coupled Oscillators Response Curves Synchronized Systems
2011/7/6
We prove that a group of injection-locked oscillators, each
modelled using a nonlinear phase macromodel, responds as a single
oscillator to small external perturbations. More precisely, we show that...
Breathing modes of long Josephson junctions with phase-shifts
radiative damping fractional fluxon breathing modes
2011/3/2
We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts.
Breathing modes of long Josephson junctions with phase-shifts
radiative damping fractional fluxon breathing modes
2010/12/28
We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts. Under appropriate
conditions, Josephson j...
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity
A nonlocal quasilinear multi-phase system nonconstant specific heat heat conductivity
2010/11/23
In this paper, we prove the existence and global boundedness from above for a solution to an integrodifferential model for nonisothermal multi-phase transitions under nonhomogeneous third type bounda...
Striped periodic minimizers of a two-dimensional model for martensitic phase transitions
two-dimensional model martensitic phase transitions
2010/11/22
In this paper we consider a simplified two-dimensional scalar model for the formation of mesoscopic domain patterns in martensitic shape-memory alloys at the interface between a region occupied by th...
The threshold-two contact process on a random r-regular graph has a first order phase transition
The threshold-two contact process r-regular graph phase transition
2010/11/12
We consider the discrete time threshold-two contact process on a random $r$-regular graph on $n$ vertices. In this process, a vertex with at least two occupied neighbors at time $t$ will be occupied ...
Fourier law, phase transitions and the stationary Stefan problem
Fourier law, phase transitions stationary Stefan problem
2010/12/10
We study the one-dimensional stationary solutions of an integro-differential equation derived by Giacomin and Lebowitz from Kawasaki dy-namics in Ising systems with Kac potentials, [5].
Uniqueness results for the phase retrieval problem of fractional Fourier transforms of variable order
Phase retrieval Pauli problem Fractional Fourier transform entire function of finite order
2010/12/8
In this paper, we investigate the uniqueness of the phase retrieval problem for the fractional Fourier transform (FrFT) of variable order. This problem occurs naturally in optics and quantum physics. ...
Lattice Structure for Paraunitary Linear-Phase Filter Babks with Accuracy
Paraunitary Linear-phase Accuracy
2007/12/12
Multivariate filter banks with a polyphase matrix built by matrix factorization (lattice structure) were proposed to obtain orthonormal wavelet basis. On the basis of that, we propose a general method...