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Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 05/2017, Volume 50, Issue 23, p. 235001
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 05/2016, Volume 62, Issue 5, pp. 2694 - 2701
This paper introduces the covering dimension of a linear code over a finite field, which is analogous to the critical exponent of a representable matroid and,... 
Upper bound | covering dimension | support weight distribution | Linear code over a finite field | Linear codes | Kung's Bound | Generators | Critical Problem | Australia | Hamming weight | Coding theory | Usage | Matrices | Research | Information theory
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 03/2019, Volume 390, pp. 1 - 8
Extensive Monte Carlo simulations are carried out in one, two and three dimensions for dynamic local load-sharing fiber bundle models following a power-law... 
Time-dependent failure | Failure of disordered materials | Monte Carlo simulations | Upper critical dimension | Local load-sharing | Fiber-bundle models | Monte Carlo method | Analysis | Models
Journal Article
Physical Review Letters, ISSN 0031-9007, 04/2010, Volume 104, Issue 15, p. 150601
We present a simple approximation of the nonperturbative renormalization group designed for the Kardar-Parisi-Zhang equation and show that it yields the... 
DYNAMIC EXPONENT | KPZ EQUATION | PHYSICS, MULTIDISCIPLINARY | UPPER CRITICAL DIMENSION | DEPOSITION | EXPANSION | INTERFACES | GROWTH DYNAMICS
Journal Article
Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 01/2016, Volume 26, Issue 1, pp. 111 - 160
Journal Article
British Food Journal, ISSN 0007-070X, 12/2016, Volume 118, Issue 12, pp. 2981 - 2996
Purpose The purpose of this paper is to uncover the service quality dimensions that influence satisfaction with wineries and future intentions to return among... 
Winery service quality | Winery tasting room | Chinese wine consumer | Wine tourism | Consumption | Wine | Wineries | Upper class | Consumers | Values | Business competition | Critical components | Tourism | Surveys | Wines | Tourists | Lifestyles | Sampling | Wineries & vineyards | Culture | Quality management
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 12/2015, Volume 92, Issue 6, p. 062818
Recently I proposed a simple dynamical network model for discrete space-time that self-organizes as a graph with Hausdorff dimension d(H) = 4. The model has a... 
ISING-MODEL | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | QUANTUM-GRAVITY | LATTICE | UPPER CRITICAL DIMENSION
Journal Article
JOURNAL OF STATISTICAL PHYSICS, ISSN 0022-4715, 01/2020, Volume 178, Issue 2, pp. 392 - 419
A new "static" renormalization group approach to stochastic models of fluctuating surfaces with spatially quenched noise is proposed in which only... 
Critical scaling | FIELD-THEORY | TOPOGRAPHIC SURFACES | UPPER CRITICAL DIMENSION | PHASE-TRANSITIONS | PARISI-ZHANG EQUATION | DIRECTED POLYMERS | SURFACE GROWTH | PHYSICS, MATHEMATICAL | RANDOM ENVIRONMENT | CRITICAL-DYNAMICS | Stochastic growth | Self-organized criticality | Critical exponents | Renormalization group
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 2002, Volume 309, Issue 1, pp. 69 - 78
The controversy whether or not the Kardar–Parisi–Zhang (KPZ) equation has an upper critical dimension (UCD) is going on for quite a long time. Some approximate... 
Upper critical dimension | KPZ equation | 4 SUBSTRATE DIMENSIONS | PHYSICS, MULTIDISCIPLINARY | DEPOSITION | PHASE-TRANSITION | upper critical dimension | RENORMALIZATION
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 08/2016, Volume 261, Issue 3, pp. 1880 - 1903
In the present paper, we study a lifespan of solutions to the Cauchy problem for semilinear damped wave... 
Damped wave equation | Fujita exponent | Upper bound | Lifespan | Higher dimensions | BLOW-UP RESULT | NONEXISTENCE | GLOBAL EXISTENCE | CAUCHY-PROBLEM | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | R-N | CRITICAL EXPONENT | LARGE TIME BEHAVIOR | INITIAL DATA
Journal Article
Journal of the Korean Physical Society, ISSN 0374-4884, 12/2014, Volume 65, Issue 11, pp. 1729 - 1732
A continuous height-restricted solid-on-solid model is introduced to reduce the artifact of the discrete height model. The interface width W(t) grows as t β at... 
Restricted solid-on-solid model | Upper critical dimension | Kardar-Parisi-Zhang equation | Theoretical, Mathematical and Computational Physics | Surface roughness | Physics, general | growth exponent | Physics | Particle and Nuclear Physics | PHYSICS, MULTIDISCIPLINARY | PARISI-ZHANG EQUATION | DIRECTED POLYMERS | 물리학
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 10/2013, Volume 88, Issue 4, p. 042118
Following our numerical work [Phys. Rev. Lett. 109, 170602 (2012)] focused upon the 2 + 1 Kardar-Parisi-Zhang (KPZ) equation with flat initial condition, we... 
RANDOM-MEDIA | DISTRIBUTIONS | KPZ EQUATION | PHYSICS, FLUIDS & PLASMAS | UPPER CRITICAL DIMENSION | GROWTH-PROCESSES | FLUCTUATIONS | INTERFACES | DIRECTED POLYMERS | PHYSICS, MATHEMATICAL | SCALING FUNCTIONS | RANDOM MATRICES
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 2006, Volume 74, Issue 14
In order to study the influence of quenched disorder on second-order phase transitions, high-temperature series expansions of the susceptibility and the free... 
MONTE-CARLO | PHYSICS, CONDENSED MATTER | FERROMAGNETS | UPPER CRITICAL DIMENSION | LOGARITHMIC CORRECTIONS | PERCOLATION | POTTS | CRITICAL-BEHAVIOR | IMPURITIES | EXPANSION APPROACH | CRITICAL EXPONENTS
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 09/2015, Volume 125, pp. 550 - 560
In this paper we study the initial boundary value problem of critical semilinear wave equation with small initial data in 3-D. Blow up result will be... 
Blow up | Wave equation | Critical power | Exterior problem | Lifespan estimate | 2 SPACE DIMENSIONS | MATHEMATICS | ELEMENTARY PROOF | LIFE-SPAN | MATHEMATICS, APPLIED | GLOBAL EXISTENCE | STRAUSS-CONJECTURE | Boundary value problems | Upper bounds | Mathematical analysis | Wave equations | Nonlinearity | Estimates | Three dimensional
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 02/2012, Volume 85, Issue 2, p. 021105
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 7/2019, Volume 369, Issue 2, pp. 761 - 809
Kinetically constrained models (KCM) are reversible interacting particle systems on $${\mathbb{Z}^{d}}$$ Z d with continuous timeMarkov dynamics of Glauber... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | ISING-MODEL | PHYSICS, MATHEMATICAL | Mathematics - Probability
Journal Article
Journal of Physics: Condensed Matter, ISSN 0953-8984, 09/1999, Volume 11, Issue 37, pp. R391 - R412
The current knowledge about fluctuation-induced long-ranged forces is summarized. Reference is made in particular to fluids near critical points, f