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Maciej Zworski
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#	Item
1	A LOCAL TRACE FORMULA FOR ANOSOV FLOWS LONG JIN AND MACIEJ ZWORSKI ´de ´ric Naud With appendices by Fre Add to Reading List Source URL: fredericnaud.perso.sfr.fr Language: English - Date: 2016-01-14 04:49:03 Operator theory Spectral theory Fourier analysis Symbol Anosov diffeomorphism Fourier transform Von Neumann algebra Connection Spectrum Spectral theory of ordinary differential equations
2	BREATHING PATTERNS IN NONLINEAR RELAXATION JUSTIN HOLMER AND MACIEJ ZWORSKI Abstract. In numerical experiments involving nonlinear solitary waves propagating through nonhomogeneous media one observes “breathing” in t Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2008-09-10 13:43:06 Mathematics Numerical analysis Spectral method Hamiltonian Stability theory Spectral theory Theorems and definitions in linear algebra Calculus Mathematical analysis Solitons
3	EFFECTIVE DYNAMICS OF DOUBLE SOLITONS FOR PERTURBED MKDV JUSTIN HOLMER, GALINA PERELMAN, AND MACIEJ ZWORSKI Abstract. We consider the perturbed mKdV equation ∂t u = −∂x (∂x2 u + 2u3 − b(x, t)u) where the potent Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2010-12-20 16:05:18 Partial differential equations Solitons Hamiltonian mechanics Wave mechanics Quasiparticles Inverse scattering transform Korteweg–de Vries equation Perturbation theory Differential equation Calculus Physics Mathematical analysis
4	SLOW SOLITON INTERACTION WITH DELTA IMPURITIES JUSTIN HOLMER AND MACIEJ ZWORSKI Abstract. We study the Gross-Pitaevskii equation with a delta function potential, qδ0 , where \|q\| is small and analyze the solutions for wh Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2007-08-11 20:03:48 Physics Hamiltonian mechanics Mathematical physics Hamiltonian vector field Symplectic vector space Symplectic manifold Heisenberg group Gross–Pitaevskii equation Symbol Theoretical physics Symplectic geometry Differential topology
5	SOLITON SPLITTING BY EXTERNAL DELTA POTENTIALS JUSTIN HOLMER, JEREMY MARZUOLA, AND MACIEJ ZWORSKI Abstract. We show that a soliton scattered by an external delta potential splits into two solitons and a radiation term. T Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2006-08-10 13:11:34 Solitons Quasiparticles Gross–Pitaevskii equation Eigenvalues and eigenvectors Algebra Physics Calculus
6	SOLITON INTERACTION WITH SLOWLY VARYING POTENTIALS JUSTIN HOLMER AND MACIEJ ZWORSKI Abstract. We study the Gross-Pitaevskii equation with a slowly varying smooth potential, V (x) = W (hx). We show that up to time log(1/h Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2007-09-17 00:00:23 Theoretical physics Hamiltonian mechanics Linear algebra Symplectic manifold Hamiltonian vector field Symplectic vector space Hilbert space Gross–Pitaevskii equation Symplectic geometry Physics Differential topology
7	FAST SOLITON SCATTERING BY DELTA IMPURITIES JUSTIN HOLMER, JEREMY MARZUOLA, AND MACIEJ ZWORSKI Abstract. We study the Gross-Pitaevskii equation with a repulsive delta function potential. We show that a high velocity inco Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2006-06-28 21:18:42 Ordinary differential equations Spectral theory Delta potential Mathematical analysis Operator theory
8	GEOMETRIC STRUCTURE OF NLS EVOLUTION JUSTIN HOLMER AND MACIEJ ZWORSKI Abstract. We compare the Hamiltonian and Lagrangian approaches to nonlinear evolution equations presenting the nonlinear Schr¨odinger equation on the Add to Reading List Source URL: www.math.brown.edu Language: English - Date: 2009-01-19 14:21:26 Partial differential equations Differential geometry Operator theory Wave equation Symbol Mathematical analysis Calculus Mathematics
9	LECTURES ON SEMICLASSICAL ANALYSIS VERSION 0.2 LAWRENCE C. EVANS AND MACIEJ ZWORSKI Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2005-11-09 16:32:20 Symplectic geometry Fourier transform Symbol of a differential operator Poisson bracket Hamiltonian mechanics Wave equation Symbol Differential equation Symplectic vector space Mathematical analysis Physics Algebra
10	PDF Document Add to Reading List Source URL: www.ams.org Language: English - Date: 2001-12-14 09:59:49 Toshiyuki Kobayashi University of Tokyo École Polytechnique Fédérale de Lausanne Emmanuel Candès Institute of technology Maciej Zworski Centre de Recherches Mathématiques Vincent Blondel THE–QS World University Rankings Education Academia Knowledge

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