Results 41 to 50 of about 124 (118)
Medical Physics, Volume 51, Issue 5, Page 3597-3603, May 2024.Abstract Background The radiotherapy process relies on several metrics in determining a notion of “distance” from one three‐dimensional region‐of‐interest (ROI) to another. The majority are symmetric (or commutative) and do not contain information pertaining to directionality.
James Stewart +10 more
wiley +1 more source
Soft Riemann‐Hilbert problems and planar orthogonal polynomials
Communications on Pure and Applied Mathematics, Volume 77, Issue 4, Page 2413-2451, April 2024.Abstract Riemann‐Hilbert problems are jump problems for holomorphic functions along given interfaces. They arise in various contexts, for example, in the asymptotic study of certain nonlinear partial differential equations and in the asymptotic analysis of orthogonal polynomials. Matrix‐valued Riemann‐Hilbert problems were considered by Deift et al. in
Haakan Hedenmalm
wiley +1 more source
Sig‐Wasserstein GANs for conditional time series generation
Mathematical Finance, Volume 34, Issue 2, Page 622-670, April 2024.Abstract Generative adversarial networks (GANs) have been extremely successful in generating samples, from seemingly high‐dimensional probability measures. However, these methods struggle to capture the temporal dependence of joint probability distributions induced by time‐series data.
Shujian Liao +5 more
wiley +1 more source
Free completely random measures [PDF]
, 2011 Free probability is a noncommutative probability theory introduced by Voiculescu where the concept of independence of classical probability is replaced by the concept of freeness.
Collet, Francesca, Leisen, Fabrizio
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Spin 1/2 one‐ and two‐particle systems in physical space without eigen‐algebra or tensor product
Mathematical Methods in the Applied Sciences, Volume 47, Issue 3, Page 1457-1470, February 2024.Under the spin–position decoupling approximation, a vector with a phase in 3D orientation space endowed with geometric algebra substitutes the vector–matrix spin model built on the Pauli spin operator. The standard quantum operator‐state spin formalism is replaced with vectors transforming by proper and improper rotations in the same 3D space ...
Sokol Andoni
wiley +1 more source
Two-parameter noncommutative Gaussian processes [PDF]
, 2012 Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2012.Cataloged from PDF version of thesis.Includes bibliographical references (p.
Blitvic, Natasa
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, 2013 In this article, we introduce the notion of free subexponentiality, which extends the notion of subexponentiality in the classical probability setup to the noncommutative probability spaces under freeness.
Maulik, Krishanu, Hazra, Rajat Subhra
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Quantum stochastic operator cocycles via associated semigroups. [PDF]
, 2005 A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic ...
Wills, S. J. +3 more
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Random matrices, large deviations and reflected Brownian motion [PDF]
In this thesis we present results in large deviations theory, free probability and the theory of reflected Brownian motion. We study the large deviations behaviour of the block structure of a non-crossing partition chosen uniformly at random.
Ortmann, Janosch
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Between classical and quantum [PDF]
, 2005 The relationship between classical and quantum theory is of central importance to the philosophy of physics, and any interpretation of quantum mechanics has to clarify it.
Landsman, Nicolaas P.
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