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We propose new primal-dual decomposition algorithms for solving systems of inclusions involving sums of linearly composed maximally monotone operators. The principal innovation in these algorithms is that they are block-iterative in the…

Optimization and Control · Mathematics 2015-11-30 Patrick L. Combettes , Jonathan Eckstein

We investigate the quantization of Kramers-Kronig detection technique initially developped for classical optical communications. It consists in mixing the unknown field with a strong monochromatic local oscillator on an unbalanced…

Quantum Physics · Physics 2025-02-27 Thomas Pousset , Maxime Federico , Romain Alléaume , Nicolas Fabre

We consider rare transitions induced by colored noise excitation in multistable systems. We show that undesirable transitions can be mitigated by a simple time-delay feedback control if the control parameters are judiciously chosen. We…

Dynamical Systems · Mathematics 2021-09-15 Konstantinos Mamis , Mohammad Farazmand

A stochastic data-driven reduced-order model applicable to a wide range of turbulent natural and engineering flows is presented. Combining ideas from Koopman theory and spectral model order reduction, the stochastic low-dimensional inflated…

Fluid Dynamics · Physics 2025-04-07 Tianyi Chu , Oliver T. Schmidt

We study a model with fractional quantum numbers using Monte Carlo techniques. The model is composed of bosons interacting though a $Z_2$ gauge field. We find that the system has three phases: a phase in which the bosons are confined, a…

Strongly Correlated Electrons · Physics 2009-10-31 R. D. Sedgewick , D. J. Scalapino , R. L. Sugar

Mode separation, namely how sharply a distribution fragments into barrier-separated clusters, is a fundamental geometric property of densities, difficult to quantify in high dimensions. It is structurally distinct from dispersion, yet…

Machine Learning · Statistics 2026-05-12 Shaul Tolkovsky , Ori Meidler , Or Zuk

We report new patterns, consisting of coexistence of sub-harmonic/harmonic and asynchronous states [for example, a granular gas co-existing with (i) bouncing bed, (ii) undulatory subharmonic waves and (iii) Leidenfrost-like state], in…

Soft Condensed Matter · Physics 2018-01-31 I. H. Ansari , N. Rivas , M. Alam

In this paper, a novel Koopman-type inverse operator for linear time-invariant non-minimum phase systems with stochastic disturbances is proposed. This operator employs functions of the desired output to directly calculate the input.…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Yuhan Li , Xiaoqiang Ji

Based on a non-rigorous formalism called the "cavity method", physicists have put forward intriguing predictions on phase transitions in discrete structures. One of the most remarkable ones is that in problems such as random $k$-SAT or…

Discrete Mathematics · Computer Science 2017-11-29 Victor Bapst , Amin Coja-Oghlan , Samuel Hetterich , Felicia Rassmann , Dan Vilenchik

We investigate the phase diagram of the two dimensional {\it t}-{\it J} model using a recently developed technique that allows to solve the mean-field model hamiltonian with a variational calculation. The accuracy of our estimate is…

Condensed Matter · Physics 2009-10-22 Antimo Angelucci , Sandro Sorella

In the framework of a two-band model, we study the phase separation regime of different kinds of strongly correlated charge carriers as a function of the energy splitting between the two sets of bands. The narrow (wide) band simulates the…

Strongly Correlated Electrons · Physics 2008-10-29 K. I. Kugel , A. L. Rakhmanov , A. O. Sboychakov , Nicola Poccia , Antonio Bianconi

We classified the decoupled stochastic parallel gradient descent (SPGD) optimization model into two different types: software and hardware decoupling methods. A kind of software decoupling method is then proposed and a kind of hardware…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 Qiang Fu , Jörg-Uwe Pott , Feng Shen , Changhui Rao , Xinyang Li

The bi-partite Gaussian state, corresponding to an anisotropic harmonic oscillator in a noncommutative-space, is investigated with the help of the Simon's separability condition (generalized Peres-Horodecki criterion). It turns out that, in…

Quantum Physics · Physics 2022-12-16 Pinaki Patra

The classical Weisfeiler-Lehman method WL[2] uses edge colors to produce a powerful graph invariant. It is at least as powerful in its ability to distinguish non-isomorphic graphs as the most prominent algebraic graph invariants. It…

Data Structures and Algorithms · Computer Science 2017-04-05 Martin Fürer

The study of dynamical large deviations allows for a characterization of stationary states of lattice gas models out of equilibrium conditioned on averages of dynamical observables. The application of this framework to the two-dimensional…

Statistical Mechanics · Physics 2021-11-05 Ricardo Gutiérrez , Carlos Pérez-Espigares

We study the phase separation configurations and their rotational properties for a mixture of two interacting charged Bose-Einstein condensates subject to a magnetic field trapped in disc and Corbino geometries. We calculate the ground…

Quantum Gases · Physics 2021-03-11 S. Seyyare Aksu , A. Levent Subaşı , Nader Ghazanfari

In this paper, a physics-oriented stochastic kinetic scheme will be developed that includes random inputs from both flow and electromagnetic fields via a hybridization of stochastic Galerkin and collocation methods. Based on the BGK-type…

Computational Physics · Physics 2021-03-17 Tianbai Xiao , Martin Frank

In many low-dimensional dynamical systems transport coefficients are very irregular, perhaps even fractal functions of control parameters. To analyse this phenomenon we study a dynamical system defined by a piece-wise linear map and…

Chaotic Dynamics · Physics 2009-11-10 Zbigniew Koza

We explore the phase diagram of strongly interacting matter as a function of temperature and baryon number density, using a class of models for two-flavor QCD in which the interaction between quarks is modelled by that induced by…

High Energy Physics - Phenomenology · Physics 2010-02-04 J. Berges , K. Rajagopal

We investigate the properties of cold dense quark matter composed of two colors and two flavors of light quarks. In particular, we perform the first model calculation of the full phase diagram at nonzero baryon and isospin density, thus…

High Energy Physics - Phenomenology · Physics 2010-05-19 Jens O. Andersen , Tomas Brauner
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