SOLUTION OF THE MPC PROBLEM IN TERMS OF THE SZ.-NAGY–FOIAŞ DILATION THEORY: Solution of the MPC problem in terms of the Sz.-Nagy--Foiaş dilation theory

Authors: F. Gómez-Cubillo

Source: Infinite Dimensional Analysis, Quantum Probability and Related Topics. 11:73-96

Subject Terms: Groups and semigroups of linear operators, intrinsically random dynamics, 0103 physical sciences, Quantum dynamics and nonequilibrium statistical mechanics (general), Dilations, extensions, compressions of linear operators, 0101 mathematics, Canonical models for contractions and nonselfadjoint linear operators, 01 natural sciences, Applications of operator theory in statistical physics, Sz.-Nagy-Foias dilation theory, unitary quasi-affine transforms of contractions

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Localization at Weak Disorder: Some Elementary Bounds: Localization at weak disorder: some elementary bounds

Authors: Michael Aizenman

Source: Reviews in Mathematical Physics. :1163-1182

Subject Terms: Schrödinger operator, Schrödinger equation, localization for linear operators, uniform exponential decay, random potential, spectrally filtered unitary time evolution operators, 0101 mathematics, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, 16. Peace & justice, 01 natural sciences, Applications of operator theory in statistical physics, Selfadjoint operator theory in quantum theory, including spectral analysis

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http://ui.adsabs.harvard.edu/abs/1994ASMP...20..367A/abstract

Constructive Many-Body Theory: Constructive many-body theory

Authors: Jacques Magnen, Joel Feldman, Eugene Trubowitz, Vincent Rivasseau

Source: Reviews in Mathematical Physics. :1095-1126

Subject Terms: Renormalization group methods applied to problems in quantum field theory, many-Fermion models at temperature zero, Goldstone bosons, Applications of operator theory in the physical sciences, Symmetry breaking in quantum theory, 0103 physical sciences, particle-number symmetry breaking, renormalization group, 16. Peace & justice, 01 natural sciences, Renormalization group methods in equilibrium statistical mechanics, Applications of operator theory in statistical physics, renormalization

File Description: application/xml

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Local and global strong solutions to continuous coagulation–fragmentation equations with diffusion: Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion

Authors: Amann, H, Walker, C

Contributors: University of Zurich, Amann, H

Source: Journal of Differential Equations. 218:159-186

Subject Terms: Coagulation, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, One-parameter semigroups and linear evolution equations, Applications of operator theory to differential and integral equations, 2603 Analysis, Transport processes in time-dependent statistical mechanics, Semigroup theory, semigroup theory, 01 natural sciences, Applications of operator theory in statistical physics, volume scattering, Diffusion, 10123 Institute of Mathematics, Integro-partial differential equations, homogeneous Neumann boundary conditions, 510 Mathematics, Volume scattering, 2604 Applied Mathematics, Reaction-diffusion equations, Fragmentation, well-posedness, 0101 mathematics, Analysis

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https://ui.adsabs.harvard.edu/abs/2005JDE...218..159A/abstract
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https://www.zora.uzh.ch/id/eprint/21662/
https://doi.org/10.5167/uzh-21662

Optimal spectral theory of the linear Boltzmann equation

Authors: Mustapha Mokhtar-Kharroubi

Source: Journal of Functional Analysis. 226:21-47

Subject Terms: Compactness, One-parameter semigroups and linear evolution equations, Applications of operator theory to differential and integral equations, spectral theory, 01 natural sciences, Applications of operator theory in statistical physics, Nuclear reactor theory, neutron transport, neutron transport semigroup, compactness, 0101 mathematics, Integro-differential operators, Spectral theory, Neutron transport semigroup, Analysis

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https://core.ac.uk/display/82457033

On localization in the continuous Anderson-Bernoulli model in higher dimension

Authors: Jean Bourgain, Carlos E. Kenig

Source: Inventiones mathematicae. 161:389-426

Subject Terms: spectral localization, Anderson-Bernoulli model, 0103 physical sciences, random Schrödinger operator, 0101 mathematics, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Random linear operators, 01 natural sciences, Applications of operator theory in statistical physics

File Description: application/xml

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https://link.springer.com/content/pdf/10.1007%2Fs00222-004-0435-7.pdf

Dynamical upper bounds for one-dimensional quasicrystals

Authors: David Damanik

Source: Journal of Mathematical Analysis and Applications. 303:327-341

Subject Terms: Applied Mathematics, Jacobi (tridiagonal) operators (matrices) and generalizations, FOS: Physical sciences, Linear difference operators, Mathematical Physics (math-ph), 01 natural sciences, Applications of operator theory in statistical physics, Quasiperiodic potentials, 81Q10, 47B80, 68R15, 0103 physical sciences, Quantum dynamics, 0101 mathematics, Schrödinger operators, Analysis, Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis

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https://ui.adsabs.harvard.edu/abs/2005JMAA..303..327D/abstract
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http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.340.3330&rep=rep1&type=pdf

Spectral Theory of Time Dispersive and Dissipative Systems: Spectral theory of time dispersive and dissipative systems

Authors: Alexander Figotin, Jeffrey H. Schenker

Source: Journal of Statistical Physics. 118:199-263

Subject Terms: 34A30, 47DO6, 82CO3, 78A25, 70J10, Applications of operator theory to differential and integral equations, FOS: Physical sciences, spectral theory, Mathematical Physics (math-ph), 01 natural sciences, Applications of operator theory in statistical physics, time dispersive dissipative dielectric medium, time dispersive dissipative systems, Lamb model, Quantum dynamics and nonequilibrium statistical mechanics (general), Maxwell equations, 0101 mathematics, PDEs in connection with optics and electromagnetic theory, conservative extension, Mathematical Physics

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https://www.math.uci.edu/~afigotin/papers/Figotin%20Schenker%20Spectral%20Theory%20of%20Time%20Dispersive%20and%20Dissipative%20JSP%202005.pdf
http://users.math.msu.edu/users/jeffrey/Reprints/JSPV118P199.pdf
https://core.ac.uk/display/100831837
https://users.math.msu.edu/users/jeffrey/Reprints/JSPV118P199.pdf
https://ui.adsabs.harvard.edu/abs/2005JSP...118..199F/abstract
https://link.springer.com/article/10.1007/s10955-004-8783-7

Spectral Bounds Using Higher-Order Numerical Ranges: Spectral bounds using higher-order numerical ranges

Authors: Davies, E B

Source: LMS Journal of Computation and Mathematics. 8:17-45

Subject Terms: Linear symmetric and selfadjoint operators (unbounded), 4. Education, Random operators and equations (aspects of stochastic analysis), Norms of matrices, numerical range, applications of functional analysis to matrix theory, Spectrum, resolvent, 0101 mathematics, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, 16. Peace & justice, Inequalities involving eigenvalues and eigenvectors, 01 natural sciences, Applications of operator theory in statistical physics

File Description: application/xml

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https://www.cambridge.org/core/journals/lms-journal-of-computation-and-mathematics/article/spectral-bounds-using-higher-order-numerical-ranges/45F7DAF4084703A46386B5DECEA0DCEC

H�lder Equicontinuity of the Integrated Density of States at Weak Disorder: Hölder equicontinuity of the integrated density of states at weak disorder

Authors: Schenker, Jeffrey

Source: Letters in Mathematical Physics, 70 (3)

Subject Terms: Applications of functional analysis in statistical physics, Density of states, Random Schrodinger operators, Wegner estimate, FOS: Physical sciences, Random Schrödinger operators, Mathematical Physics (math-ph), 01 natural sciences, Applications of operator theory in statistical physics, density of states, 0103 physical sciences, 0101 mathematics, Mathematical Physics, Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses)

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http://arxiv.org/abs/math-ph/0403063
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https://arxiv.org/pdf/math-ph/0403063
https://arxiv.org/abs/math-ph/0403063
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https://users.math.msu.edu/users/jeffrey/Reprints/LMPV70P195.pdf
https://ui.adsabs.harvard.edu/abs/2004LMaPh..70..195S/abstract
https://link.springer.com/article/10.1007/s11005-004-3757-x
http://math.msu.edu/~jeffrey/reprints/lmpv70p195.pdf
http://hdl.handle.net/20.500.11850/33586
http://doc.rero.ch/record/317231/files/11005_2004_Article_3757.pdf

Spectral analysis of percolation Hamiltonians

Authors: Ivan Veselić

Source: Mathematische Annalen. 331:841-865

Subject Terms: Schrödinger operator, Schrödinger equation, 0103 physical sciences, 35J10, 81Q10, 82B43, Percolation, FOS: Physical sciences, Mathematical Physics (math-ph), 0101 mathematics, Random linear operators, 01 natural sciences, Applications of operator theory in statistical physics, Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis

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Access URL: http://arxiv.org/pdf/math-ph/0405006
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https://core.ac.uk/display/23055051
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https://ui.adsabs.harvard.edu/abs/2004math.ph...5006V/abstract
https://arxiv.org/pdf/math-ph/0405006
https://arxiv.org/abs/math-ph/0405006

The Spectrum of Two-Particle Bound States for the Transfer Matrices of Gibbs Fields (an Isolated Bound State): The spectrum of two-particle bound states for the transfer matrices of Gibbs fields (an isolated bound state)

Authors: Evgeny Lakshtanov, R. A. Minlos

Source: Functional Analysis and Its Applications. 38:202-216

Subject Terms: Fredholm determinant, 0103 physical sciences, Quantum dynamics and nonequilibrium statistical mechanics (general), Random fields, Gibbs fields, transfer matrix, generic potential, 0101 mathematics, bound states, 01 natural sciences, Applications of operator theory in statistical physics

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Access URL: https://zbmath.org/2193453
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https://link.springer.com/article/10.1023/B%3AFAIA.0000042805.04113.42

THE INVARIANT MEASURES AT WEAK DISORDER FOR THE TWO-LINE ANDERSON MODEL: The invariant measures at weak disorder for the two-line Anderson model

Authors: Joseph V. Pulé, T. C. Dorlas

Source: Reviews in Mathematical Physics. 16:639-673

Subject Terms: Jacobi (tridiagonal) operators (matrices) and generalizations, 0103 physical sciences, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Measure-preserving transformations, Random linear operators, 01 natural sciences, Applications of operator theory in statistical physics

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Access URL: https://zbmath.org/2102835
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https://ui.adsabs.harvard.edu/abs/2004RvMaP..16..639D/abstract

Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss

Authors: ARLOTTI, Luisa, BANASIAK Jacek

Source: Journal of Mathematical Analysis and Applications. 293:693-720

Subject Terms: Substochastic semigroups, Research exposition (monographs, survey articles) pertaining to operator theory, One-parameter semigroups and linear evolution equations, Applied Mathematics, Transport processes in time-dependent statistical mechanics, Positive linear operators and order-bounded operators, Fragmentation models, shattering transition, 01 natural sciences, Applications of operator theory in statistical physics, fragmentation models, substochastic semigroups, Shattering transition, Continuous-time Markov processes on general state spaces, 0101 mathematics, Analysis

File Description: application/xml; application/pdf

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https://core.ac.uk/display/53346703
https://www.openaccessrepository.it/record/181412
https://hdl.handle.net/11390/877619

General Non-Existence Theorem for Phase Transitions in One-Dimensional Systems with Short Range Interactions, and Physical Examples of Such Transitions: General non-existence theorem for phase transitions in one-dimensional systems with short range interactions, and physical examples of such transitions

Authors: Angel Sánchez, José A. Cuesta

Source: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
instname

Subject Terms: Matemáticas, short-range interactions, Rigorous results, FOS: Physical sciences, Physics - Classical Physics, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 01 natural sciences, One-dimensional systems, Transfer operators, 0103 physical sciences, Short-range interactions, Exactly solvable models, Bethe ansatz, Condensed Matter - Statistical Mechanics, Mathematical Physics, rigorous results, Statistical Mechanics (cond-mat.stat-mech), Classical Physics (physics.class-ph), Mathematical Physics (math-ph), Phase transitions (general) in equilibrium statistical mechanics, one-dimensional systems, Applications of operator theory in statistical physics, Nonlinear Sciences - Adaptation and Self-Organizing Systems, phase transitions, transfer operators, Phase transitions, Adaptation and Self-Organizing Systems (nlin.AO)

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https://link.springer.com/content/pdf/10.1007%2Fs10955-009-9862-6.pdf
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https://hdl.handle.net/10016/14953
http://hdl.handle.net/10016/14953
https://zbmath.org/2085873
https://doi.org/10.1023/b:joss.0000022373.63640.4e
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https://link.springer.com/article/10.1023/B%3AJOSS.0000022373.63640.4e
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https://gisc.uc3m.es/~cuesta/PDFs/JSP1150869.pdf
https://arxiv.org/abs/cond-mat/0306354
https://arxiv.org/pdf/cond-mat/0306354.pdf

Localization for discrete one-dimensional random word models: Localization for discrete one-dimensional random word models.

Authors: Robert Sims, David Damanik, Günter Stolz

Source: Journal of Functional Analysis. 208:423-445

Subject Terms: random operators, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, Applications of operator theory in statistical physics, localization, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), Mathematics - Spectral Theory, 0103 physical sciences, FOS: Mathematics, 0101 mathematics, Random linear operators, Spectral Theory (math.SP), Analysis, Mathematical Physics, Anderson model

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https://www.sciencedirect.com/science/article/pii/S0022123603002969
https://arizona.pure.elsevier.com/en/publications/localization-for-discrete-one-dimensional-random-word-models

Spectral analysis for a class of integral‐difference operators:known facts, new results, and open problems: Spectral analysis for a class of integral-difference operators: known facts, new results, and open problems

Authors: Yuri B. Melnikov

Source: Discrete Dynamics in Nature and Society, Vol 2004, Iss 1, Pp 221-249 (2004)

Subject Terms: QA1-939, Spectrum, resolvent, 0101 mathematics, Integro-differential operators, 01 natural sciences, Mathematics, Applications of operator theory in statistical physics, spectral analysis, Time-dependent statistical mechanics (dynamic and nonequilibrium), integral-difference operators, nonequilibrium statistical mechanics

File Description: application/xml

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http://emis.maths.adelaide.edu.au/journals/HOA/DDNS/Volume2004_1/249.pdf
https://www.emis.de/journals/HOA/DDNS/Volume2004_1/249.pdf

Explicit finite volume criteria for localization in continuous random media and applications

Authors: Germinet, François, Klein, A.

Contributors: Abdelmoumene, Amina

Source: Geometric And Functional Analysis. 13:1201-1238

Subject Terms: 0103 physical sciences, 0101 mathematics, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Random linear operators, 01 natural sciences, Applications of operator theory in statistical physics

File Description: application/xml

Access URL: https://hal.science/hal-00092758v1
http://core.ac.uk/display/21543489
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https://rd.springer.com/content/pdf/10.1007%2Fs00039-003-0444-5.pdf

The Functional Delta Existence Theorem and the Reduction of a Proof of the Fukui Conjecture to That of the Special Functional Asymptotic Linearity Theorem: The functional delta existence theorem and the reduction of a proof of the Fukui conjecture to that of the special functional asymptotic linearity theorem

Authors: Shigeru Arimoto

Source: Journal of Mathematical Chemistry. 34:287-296

Subject Terms: Miscellaneous applications of operator theory, Chemistry, Applications of matrix theory to physics, additivity problems, 0103 physical sciences, Fukui conjecture, Asymptotic Linearity Theorem (ALT), Molecular structure (graph-theoretic methods, methods of differential topology, etc.), repeat space theory (RST), 0101 mathematics, 01 natural sciences, Applications of operator theory in statistical physics

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Solvability of linear kinetic equations with multi-energetic inelastic scattering: Solvability of linear kinetic equations with multi-energetic inelastic scattering.

Authors: J. BANASIAK, GROPPI, Maria

Contributors: J., Banasiak, Groppi, Maria

Source: Reports on Mathematical Physics. 52:235-253

Subject Terms: substochastic semigroups, One-parameter semigroups and linear evolution equations, 0103 physical sciences, Kinetic theory of gases in time-dependent statistical mechanics, linear Boltzmann equation, 0101 mathematics, 01 natural sciences, Applications of operator theory in statistical physics

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2003RpMP...52..235B/abstract
https://www.sciencedirect.com/science/article/pii/S0034487703900152