Keyword

scaling limits

Description: Scaling limits are limiting mathematical descriptions of systems observed at progressively larger scales, especially in probability, statistical mechanics, and random geometry.

Primary topic: Stochastic processes and statistical mechanics (48%)

Wikidata ID: wiki/Q7429781

OpenAlex ID: keywords/scaling-limits

Scaling limits of loop-erased random walks and uniform spanning trees

2000 · Oded Schramm · Israel Journal of Mathematics · 1,085

Combinatorial Stochastic Processes

2006 · Jim Pitman, Jean Picard · Springer eBooks · 976

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Thermodynamic Bethe ansatz in relativistic models: Scaling 3-state potts and Lee-Yang models

1990 · Al.B. Zamolodchikov · Nuclear Physics B · 808

Performance modeling of epidemic routing

2006 · Xiaolan Zhang, Giovanni Neglia, et al. · Computer Networks · 797

Theory of ballistic nanotransistors

2003 · A. Rahman, Jing Guo, et al. · IEEE Transactions on Electron Devices · 769

The Kardar–parisi–zhang Equation and Universality Class

2011 · IVAN CORWIN · Random Matrices Theory and Application · 760

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Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits

2001 · Stanislav Smirnov · Comptes Rendus de l Académie des Sciences - Series I - Mathematics · 739

Analysis of the scalability of diffraction-limited fiber lasers and amplifiers to high average power

2008 · Jay W. Dawson, Michael J. Messerly, et al. · Optics Express · 737

Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region

1976 · Tai Tsun Wu, Barry M. McCoy, et al. · Physical review. B, Solid state · 694

Closing the Gap in the Capacity of Wireless Networks Via Percolation Theory

2007 · Massimo Franceschetti, Olivier Dousse, et al. · IEEE Transactions on Information Theory · 654

Scaling limit of deeply virtual compton scattering

1996 · A.V Radyushkin · Physics Letters B · 627

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On the triviality of λϕd4 theories and the approach to the critical point in d(−) > 4 dimensions

1982 · Jürg Fröhlich · Nuclear Physics B · 567

Scaling, Duality, and the Behavior of Resonances in Inelastic Electron-Proton Scattering

1970 · E. D. Bloom, F. J. Gilman · Physical Review Letters · 558

Semi-Stable Stochastic Processes

1962 · John Lamperti · Transactions of the American Mathematical Society · 531

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A mean field view of the landscape of two-layer neural networks

2018 · Song Mei, Andrea Montanari, et al. · Proceedings of the National Academy of Sciences · 506

Conformally Invariant Processes in the Plane

2008 · Gregory Lawler · Mathematical surveys and monographs · 493

Random Fragmentation and Coagulation Processes

2006 · Jean Bertoin · Cambridge University Press eBooks · 491

Limit theorems for continuous-time random walks with infinite mean waiting times

2004 · Mark M. Meerschaert, Hans-Peter Scheffler · Journal of Applied Probability · 467

Review of: "FinFET nanotransistor, the reduction of scale causes more short channel effects, less gate control, an exponential increase in leakage currents, severe process changes, and power densities"

2024 · Chad Allen · Qeios · 462

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Integrable Field Theory from Conformal Field Theory

2018 · A. B. Zamolodchikov · Advanced studies in pure mathematics · 458

Recent advances in percolation theory and its applications

2015 · Abbas Ali Saberi · Physics Reports · 444

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INTEGRALS OF MOTION AND S-MATRIX OF THE (SCALED) T = T c ISING MODEL WITH MAGNETIC FIELD

1989 · A. B. ZAMOLODCHIKOV · International Journal of Modern Physics A · 410

CMOS design near the limit of scaling

2002 · Y. Taur · IBM Journal of Research and Development · 396

Gaussian free fields for mathematicians

2007 · Scott Sheffield · Probability Theory and Related Fields · 395

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A HARPSS polysilicon vibrating ring gyroscope

2001 · F. Ayazi, K. Najafi · Journal of Microelectromechanical Systems · 377

Works count: 5,621

Citation count: 88,080