Results 11 to 20 of about 711,979 (178)
Fredholm determinants, differential equations and matrix models [PDF]
Communications in Mathematical Physics, 1994 Orthogonal polynomial random matrix models of NxN hermitian matrices lead to Fredholm determinants of integral operators with kernel of the form (phi(x) psi(y) - psi(x) phi(y))/x-y. This paper is concerned with the Fredholm determinants of integral operators having kernel of this form and where the underlying set is a union of open intervals.
Tracy, Craig A., Widom, Harold
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Selective Packaging of miR-22 and miR-29 Orthologues into Extracellular Vesicles of the Porcine Whipworm Trichuris Suis. [PDF]
J Extracell VesiclesABSTRACT Helminths modulate host immunity, and in this respect, the porcine whipworm Trichuris suis has been explored clinically as an immunotherapy for inflammatory diseases. T. suis secretes a complex mixture of excretory/secretory products (ESP), including extracellular vesicles (EVs), nanosized membranous particles with bioactive cargoes of lipids,
Whitehead B +19 more
europepmc +2 more sources
On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
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Fredholm determinants for the stability of travelling waves [PDF]
, 2013 This thesis investigates both theoretically and numerically the stability of travelling wave solutions using Fredholm determinants, on the real line. We identify a class of travelling wave problems for which the corresponding integral operators are of ...
Karambal, Issa
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A Fredholm determinant for semiclassical quantization [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1993 We investigate a new type of approximation to quantum determinants, the ‘‘quantum Fredholm determinant,’’ and test numerically the conjecture that for Axiom A hyperbolic flows such determinants have a larger domain of analyticity and better convergence than the Gutzwiller–Voros zeta functions derived from the Gutzwiller trace formula. The conjecture is
Cvitanovic, P. +3 more
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Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
SciPost Physics, 2022 We consider the XY spin chain with arbitrary time-dependent magnetic field and anisotropy. We argue that a certain subclass of Gaussian states, called Coherent Ensemble (CE) following [1], provides a natural and unified framework for out-of-equilibrium ...
Etienne Granet, Henrik Dreyer, Fabian H.L. Essler
doaj +1 more source
On tau functions associated with linear systems [PDF]
, 2012 \noindent {\bf Abstract} This paper considers the Fredholm determinant $\det (I-\Gamma_x)$ of a Hankel integral operator on $L^2(0, \infty )$ with kernel $\phi (s+t+2x)$, where $\phi$ is a matrix scattering function.
Samantha L. Newsham +3 more
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Functional equations and separation of variables for exact g-function
Journal of High Energy Physics, 2020 The g-function is a measure of degrees of freedom associated to a boundary of two-dimensional quantum field theories. In integrable theories, it can be computed exactly in a form of the Fredholm determinant, but it is often hard to evaluate numerically ...
João Caetano, Shota Komatsu
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A Fredholm Determinant Representation in ASEP [PDF]
Journal of Statistical Physics, 2008 In previous work the authors found integral formulas for probabilities in the asymmetric simple exclusion process (ASEP) on the integer lattice. The dynamics are uniquely determined once the initial state is specified. In this note we restrict our attention to the case of step initial condition with particles at the positive integers, and consider the ...
Tracy, Craig A., Widom, Harold
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Unbounded B-Fredholm operators on Hilbert spaces [PDF]
, 2008 This paper is concerned with the study of a class of closed linear operators densely defined on a Hilbert space H and called B-Fredholm operators.
Berkani, M. +3 more
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