2016, Courant lecture notes in mathematics, ISBN 9780821840863, Volume 27, vii, 104 pages

Book

2015, Proceedings of symposia in pure mathematics, ISBN 9781470411121, Volume 89, viii, 339

Book

2007, ISBN 0470015233, x, 326

.... He has published for 60 papers on queuing theory, networks, scheduling, and pricing of networks.

Telecommunication | Mathematical models | Gaussian processes | Traffic

Telecommunication | Mathematical models | Gaussian processes | Traffic

Book

2015, Graduate studies in mathematics, ISBN 9780821875780, Volume 162, xiv, 318

Book

IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2012, Volume 58, Issue 3, pp. 1677 - 1701

In this paper, a comprehensive survey is given on several major systematic approaches in dealing with delay-aware control problems, namely the equivalentrate...

Delay-aware resource control | Markov decision process (MDP) | Wireless networks | large deviation theory | Spread spectrum communication | stochastic learning | Aerospace electronics | Lyapunov stability | Throughput | Resource management | Delay | Optimization | QUALITY | APPROXIMATIONS | STABILITY | COMPUTER SCIENCE, INFORMATION SYSTEMS | ALGORITHMS | MIMO CHANNELS | ENGINEERING, ELECTRICAL & ELECTRONIC | QUEUING-NETWORKS | SERVICE | OPTIMIZATION | NETWORK UTILITY MAXIMIZATION | POWER ALLOCATION | Learning | Design engineering | Networks | Control systems | Drift | Stochasticity | Deviation | Information theory | Computer Science - Performance

Delay-aware resource control | Markov decision process (MDP) | Wireless networks | large deviation theory | Spread spectrum communication | stochastic learning | Aerospace electronics | Lyapunov stability | Throughput | Resource management | Delay | Optimization | QUALITY | APPROXIMATIONS | STABILITY | COMPUTER SCIENCE, INFORMATION SYSTEMS | ALGORITHMS | MIMO CHANNELS | ENGINEERING, ELECTRICAL & ELECTRONIC | QUEUING-NETWORKS | SERVICE | OPTIMIZATION | NETWORK UTILITY MAXIMIZATION | POWER ALLOCATION | Learning | Design engineering | Networks | Control systems | Drift | Stochasticity | Deviation | Information theory | Computer Science - Performance

Journal Article

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2017, Volume 50, Issue 26, p. 263001

.... Large deviations in stochastic population dynamics-such as those determining population extinction, fixation or switching between different states-are presently in a focus of attention of statistical physicists...

large deviations | genetic switches | master equation | population extinction and fixation | stochastic population dynamics | WKB methods | biological invasions | stochastic epidemic models | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | ESCAPE | FRONT PROPAGATION | ATTRACTORS | MODELS | FLUCTUATIONS | GENE-EXPRESSION | EPIDEMICS | SELECTION | EXTINCTION | FIXATION

large deviations | genetic switches | master equation | population extinction and fixation | stochastic population dynamics | WKB methods | biological invasions | stochastic epidemic models | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | ESCAPE | FRONT PROPAGATION | ATTRACTORS | MODELS | FLUCTUATIONS | GENE-EXPRESSION | EPIDEMICS | SELECTION | EXTINCTION | FIXATION

Journal Article

Annales Henri Poincaré, ISSN 1424-0661, 2014, Volume 16, Issue 9, pp. 2005 - 2057

.... The basic assumption is that the rare event used in the conditioning is a large deviation-type event, characterized by a convex rate function...

Conditioned Process | Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Markov Process | Large Deviation Principle | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Canonical Ensemble | Jump Process | Physics | Elementary Particles, Quantum Field Theory | BROWNIAN-MOTION | STATISTICAL-MECHANICS | STEADY-STATES | PHYSICS, MULTIDISCIPLINARY | DIFFERENTIAL-EQUATIONS | PHYSICS, MATHEMATICAL | STOCHASTIC-CONTROL | GAUSSIAN BRIDGES | FREE-ENERGY DIFFERENCES | DYNAMICAL ENSEMBLES | CONTINUOUS-TIME | FLUCTUATION-DISSIPATION THEOREM | PHYSICS, PARTICLES & FIELDS | Markov processes

Conditioned Process | Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Markov Process | Large Deviation Principle | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Canonical Ensemble | Jump Process | Physics | Elementary Particles, Quantum Field Theory | BROWNIAN-MOTION | STATISTICAL-MECHANICS | STEADY-STATES | PHYSICS, MULTIDISCIPLINARY | DIFFERENTIAL-EQUATIONS | PHYSICS, MATHEMATICAL | STOCHASTIC-CONTROL | GAUSSIAN BRIDGES | FREE-ENERGY DIFFERENCES | DYNAMICAL ENSEMBLES | CONTINUOUS-TIME | FLUCTUATION-DISSIPATION THEOREM | PHYSICS, PARTICLES & FIELDS | Markov processes

Journal Article

New journal of physics, ISSN 1367-2630, 2016, Volume 18, Issue 1, p. 013048

... in the projected state assumes a large deviation (exponentially decaying) form in the limit of an infinite number of measurements...

quantum Zeno | large deviation theory | open quantum systems | disordered systems | quantum measurements | DECAY | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | Intervals | Dynamic tests | Probability theory | Coherence | Entangled states | Deviation | Survival | Quantum theory | Quantum phenomena

quantum Zeno | large deviation theory | open quantum systems | disordered systems | quantum measurements | DECAY | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | Intervals | Dynamic tests | Probability theory | Coherence | Entangled states | Deviation | Survival | Quantum theory | Quantum phenomena

Journal Article

2001, Chapman & Hall/CRC monographs and surveys in pure and applied mathematics, ISBN 9781584881988, Volume 119, xiv, 500

Book

2013, Mathematical surveys and monographs, ISBN 9781470410490, Volume no. 194., xvi, 189

Book

IEEE Transactions on Information Theory, ISSN 0018-9448, 02/2013, Volume 59, Issue 2, pp. 796 - 802

... Rényi entropy was identified. Here, we show that, when appropriately scaled, as the password length grows, the logarithm of the guesswork satisfies a large deviation principle (LDP...

large deviations | Upper bound | Atmospheric measurements | Rényi entropy | Markov processes | Shannon entropy | Entropy | Complexity theory | Guesswork | Approximation methods | Equations | CHANNEL | COMPUTER SCIENCE, INFORMATION SYSTEMS | Renyi entropy | ENGINEERING, ELECTRICAL & ELECTRONIC | Asymptotic efficiencies (Statistics) | Usage | Uncertainty (Information theory) | Chaos theory | Analysis

large deviations | Upper bound | Atmospheric measurements | Rényi entropy | Markov processes | Shannon entropy | Entropy | Complexity theory | Guesswork | Approximation methods | Equations | CHANNEL | COMPUTER SCIENCE, INFORMATION SYSTEMS | Renyi entropy | ENGINEERING, ELECTRICAL & ELECTRONIC | Asymptotic efficiencies (Statistics) | Usage | Uncertainty (Information theory) | Chaos theory | Analysis

Journal Article

Queueing systems, ISSN 1572-9443, 2019, Volume 93, Issue 3-4, pp. 333 - 349

.... We consider two scaling regimes for the tail event in which we demonstrate the existence of a restricted large deviations principle and identify the unique rate function associated with these asymptotics...

Computational Theory and Mathematics | Extreme value theory | Management Science and Operations Research | Computer Science Applications | Networks of infinite server queues | Bivariate normal distributions | Statistics and Probability | Large deviations | Business and Management | Systems Theory, Control | Operations Research/Decision Theory | Probability Theory and Stochastic Processes | Supply Chain Management | Computer Communication Networks | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | LOGARITHMIC ASYMPTOTICS | TRAFFIC LIMIT-THEOREM | Bivariate analysis | Gaussian process | Asymptotic properties | Network analysis | Queuing theory | Queues | Maxima | Extreme values

Computational Theory and Mathematics | Extreme value theory | Management Science and Operations Research | Computer Science Applications | Networks of infinite server queues | Bivariate normal distributions | Statistics and Probability | Large deviations | Business and Management | Systems Theory, Control | Operations Research/Decision Theory | Probability Theory and Stochastic Processes | Supply Chain Management | Computer Communication Networks | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | LOGARITHMIC ASYMPTOTICS | TRAFFIC LIMIT-THEOREM | Bivariate analysis | Gaussian process | Asymptotic properties | Network analysis | Queuing theory | Queues | Maxima | Extreme values

Journal Article

The Annals of probability, ISSN 0091-1798, 2008, Volume 36, Issue 2, pp. 397 - 419

.... It is a survey of the theory of large deviations.

Ergodic theory | Brownian motion | Particle interactions | Random walk | Law of large numbers | Markov processes | Markov chains | Entropy | Random variables | Rare events | Large deviations | large deviations | ASYMPTOTIC EVALUATION | LARGE TIME | MARKOV PROCESS EXPECTATIONS | EQUATIONS | STATISTICS & PROBABILITY | rare events | HOMOGENIZATION | 60-02 | 60F10

Ergodic theory | Brownian motion | Particle interactions | Random walk | Law of large numbers | Markov processes | Markov chains | Entropy | Random variables | Rare events | Large deviations | large deviations | ASYMPTOTIC EVALUATION | LARGE TIME | MARKOV PROCESS EXPECTATIONS | EQUATIONS | STATISTICS & PROBABILITY | rare events | HOMOGENIZATION | 60-02 | 60F10

Journal Article

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, ISSN 0035-8711, 06/2019, Volume 485, Issue 4, pp. 5244 - 5255

The tidal torque theory (TTT) relates the origin and evolution of angular momentum with the environment in which dark matter (DM) haloes form...

SPIN | SHAPES | large-scale structure of Universe | methods: numerical | SIMULATION | ALIGNMENTS | methods: statistical | EVOLUTION | CLUSTERS | ORIENTATION | ASTRONOMY & ASTROPHYSICS | PREDICTIONS | COSMIC WEB | galaxies: haloes | ASSEMBLY BIAS | Physics - Cosmology and Nongalactic Astrophysics

SPIN | SHAPES | large-scale structure of Universe | methods: numerical | SIMULATION | ALIGNMENTS | methods: statistical | EVOLUTION | CLUSTERS | ORIENTATION | ASTRONOMY & ASTROPHYSICS | PREDICTIONS | COSMIC WEB | galaxies: haloes | ASSEMBLY BIAS | Physics - Cosmology and Nongalactic Astrophysics

Journal Article

European journal of operational research, ISSN 0377-2217, 06/2017, Volume 259, Issue 3, pp. 1036 - 1044

•The exact asymptotics are the product of a polynomial and an exponential.•The number of jumps of the optimal background path determines the polynomial.•An...

Queueing | Rare events | Large deviations | Communication networks | Markov-modulation | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUEUES | MODELS | LIMIT | RANDOM ENVIRONMENT | Asymptotic efficiencies (Statistics) | Polynomials | Algorithms | Analysis | Markov processes | Queuing theory | Asymptotic distribution (Probability theory) | Modeling and Simulation | Networking and Internet Architecture | Computer Science | Probability | Social and Information Networks | Mathematics | Computer Science and Game Theory

Queueing | Rare events | Large deviations | Communication networks | Markov-modulation | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUEUES | MODELS | LIMIT | RANDOM ENVIRONMENT | Asymptotic efficiencies (Statistics) | Polynomials | Algorithms | Analysis | Markov processes | Queuing theory | Asymptotic distribution (Probability theory) | Modeling and Simulation | Networking and Internet Architecture | Computer Science | Probability | Social and Information Networks | Mathematics | Computer Science and Game Theory

Journal Article

17.
Full Text
Extracting the mass scale of a second Higgs boson from a deviation in h(125) couplings

Journal of High Energy Physics, ISSN 1126-6708, 9/2017, Volume 2017, Issue 9, pp. 1 - 33

We investigate the correlation between a possible deviation in the discovered Higgs boson h(125...

Beyond Standard Model | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Higgs Physics | Physics | Elementary Particles, Quantum Field Theory | MIXINGS | UNITARITY | SECTOR | NEUTRINO MASSES | CONSTRAINTS | MODEL | SEARCHES | PHYSICS, PARTICLES & FIELDS | Couplings | Large Hadron Collider | Scale (ratio) | Higgs bosons | Quarks | Deviation | Bosons | Physics - High Energy Physics - Phenomenology | Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Experiment | Nuclear and particle physics. Atomic energy. Radioactivity

Beyond Standard Model | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Higgs Physics | Physics | Elementary Particles, Quantum Field Theory | MIXINGS | UNITARITY | SECTOR | NEUTRINO MASSES | CONSTRAINTS | MODEL | SEARCHES | PHYSICS, PARTICLES & FIELDS | Couplings | Large Hadron Collider | Scale (ratio) | Higgs bosons | Quarks | Deviation | Bosons | Physics - High Energy Physics - Phenomenology | Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Experiment | Nuclear and particle physics. Atomic energy. Radioactivity

Journal Article

Progress of theoretical physics. Supplement, ISSN 0375-9687, 2010, Volume 184, Issue 184, pp. 304 - 317

We consider ensembles of trajectories associated with large deviations of time-integrated quantities in stochastic models...

DYNAMICS | FLUCTUATION THEOREM | SYSTEMS | STATES | PHYSICS, MULTIDISCIPLINARY | PHASE-TRANSITIONS | Physics - Statistical Mechanics

DYNAMICS | FLUCTUATION THEOREM | SYSTEMS | STATES | PHYSICS, MULTIDISCIPLINARY | PHASE-TRANSITIONS | Physics - Statistical Mechanics

Journal Article

Annals of Applied Probability, ISSN 1050-5164, 06/2018, Volume 28, Issue 3, pp. 1821 - 1855

We prove a sample path Large Deviation Principle (LDP) for a class of jump processes whose rates are not uniformly Lipschitz continuous in phase space...

Jump Markov processes | Large deviation principle | Lyapunov functions | Toric jets | Wentzell–Freidlin theory | Chemical reaction networks | DISTRIBUTIONS | Wentzell-Freidlin theory | REACTION SYSTEMS | chemical reaction networks | toric jets | STATISTICS & PROBABILITY | jump Markov processes | GLOBAL ATTRACTOR CONJECTURE

Jump Markov processes | Large deviation principle | Lyapunov functions | Toric jets | Wentzell–Freidlin theory | Chemical reaction networks | DISTRIBUTIONS | Wentzell-Freidlin theory | REACTION SYSTEMS | chemical reaction networks | toric jets | STATISTICS & PROBABILITY | jump Markov processes | GLOBAL ATTRACTOR CONJECTURE

Journal Article

Probability Theory and Related Fields, ISSN 0178-8051, 6/2019, Volume 174, Issue 1, pp. 49 - 101

.... We prove the large deviations principle for the empirical measure under the stationary state...

Statistics for Business, Management, Economics, Finance, Insurance | 60F10 | Mathematical and Computational Biology | 82C22 | Theoretical, Mathematical and Computational Physics | 82C35 | Probability Theory and Stochastic Processes | Mathematics | Large deviations | Quantitative Finance | Nonequilibrium stationary states | Reaction–diffusion equations | Hydrostatics | Operations Research/Decision Theory | STATISTICS & PROBABILITY | Reaction-diffusion equations | Spin dynamics | Hydrodynamic equations | Superposition (mathematics) | Probability

Statistics for Business, Management, Economics, Finance, Insurance | 60F10 | Mathematical and Computational Biology | 82C22 | Theoretical, Mathematical and Computational Physics | 82C35 | Probability Theory and Stochastic Processes | Mathematics | Large deviations | Quantitative Finance | Nonequilibrium stationary states | Reaction–diffusion equations | Hydrostatics | Operations Research/Decision Theory | STATISTICS & PROBABILITY | Reaction-diffusion equations | Spin dynamics | Hydrodynamic equations | Superposition (mathematics) | Probability

Journal Article

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