Vered Rom-Kedar The Estrin Family Chair of Computer Science and Applied Mathematics Department of computer science and applied mathematics The Weizmann Institute, Rehovot, Israel 76100. Tel: 972 8 9343170 Fax: 972 8 9344122 office: 211 Zyskind E-mail : Vered.Rom-Kedar At weizmann.ac.il Students Editorials Seminars The ACM bi-annual workshops CV  My Art work Reading course: Dynamical systems and modeling Online Chaos Book for highschool students, in Hebrew, by C. Berkovich

Publications  See Research interests and publications for list of publications, summary and motivation for each research subject.  Publication list (chronological order) Selected publications: Fluid Mixing Medicine Billiards Near-integrable Hamiltonians

Selected Publications:

O. Yaniv and V. Rom-Kedar Quantum pseudointegrable Hamiltonian impact system,  Phys. Rev. E 107, 054221, 202

V. Rom-Kedar and D. Turaev Stable motions of high energy particles interacting via a repelling potential,  Arxiv:2208.14993 , 2022

Ori Saporta-Katz, Edriss S. Titi, Hezi Gildor, Vered Rom-Kedar, A dynamic-kinematic 3D model for density-driven ocean circulation flows: Construction, global well-posedness and dynamics , JNLS 33, Article number: 1 ,2023

M. Pnueli and V. Rom-Kedar, Near tangent dynamics in a class of Hamiltonian impact systems,  SIAM J. Appl. Dyn. Syst., 21 (3), 2000-2046 , 2022

N. Frenkel, R. Saar Dover, E. Titon, Y. Shai, V. Rom-Kedar, Bistable bacterial growth dynamics in the presence of antimicrobial agents, Antibiotics 2021, 10(1), 87; doi:10.3390/antibiotics10010087

K. Fraczek and V. Rom-Kedar, Non-uniform ergodic properties of Hamiltonian flows with impacts , Ergodic Theory and Dynamical Systems, First View , pp. 1 - 63, DOI:10.1017/etds.2021.106, 2021

V. Rom-Kedar, O. Yaniv, Roy Malka and E. Shapiro,  The Immune-Buffer COVID-19 Exit Strategy that Protects the Elderly, 2020 Med Arxiv

L. Becker, S. Elliott, B. Firester, S. Gonen Cohen, M. Pnueli and V. Rom-Kedar,  Impact Hamiltonian systems and polygonal billiards, 2020, to appear in the "Proceedings of the MSRI 2018 Fall semester on Hamiltonian Systems" https://arxiv.org/abs/2001.03726

M. Pnueli and V. Rom-Kedar, On the structure of Hamiltonian impact systems Nonlinearity 34 (4), 2611. doi , 2021

M. Pnueli and V. Rom-Kedar, On Near Integrability of Some Impact Systems, SIAM J. Appl. Dyn. Syst., 17(4), 2707–2732. (26 pages), 2018, https://doi.org/10.1137/18M1177937

Equilibration of energy in slow-fast systems, K. Shah, D. Turaev, V. Gelfreich, V. Rom-Kedar PNAS Vol 114, no. 49,  E10514, 2017

Leaky Fermi Accelerators, K. Shah, V. Gelfreich, V. Rom-Kedar, D. Turaev,  Phys. Rev. E 91, 062920 , 2015

R. Mundel, E. Fredj, H. Gildor and V. Rom-Kedar, "New Lagrangian diagnostics for characterizing fluid flow mixing", Physics of Fluids, 26, no. 12 (2014): 126602

V. Gelfreich, V. Rom-Kedar, D. Turaev  Oscillating mushrooms: adiabatic theory for a non-ergodic system , 2014, Journal of Physics A : Mathematical and Theoretical, Volume 47 (Number 39). Article number 395101 . ISSN 1751-8113

M. Kloc and V. Rom-Kedar "Smooth Hamiltonian systems with soft impacts" SIAM J. Applied Dynamical Systems (Vol. 13, Issue 3), 2014

Medicine:

• [with  R. Malka, B. Wolach, R. Gavrieli and  E. Shochat] Evidence for bistable bacteria-neutrophil interaction and its clinical implications  J. Clin Invest. doi:10.1172/JCI59832, 2012.  See also commentary ,  Press release 12/9/12 . 
• [with  R. Malka] Bacteria--Phagocytes Dynamics, Axiomatic Modelling and Mass-Action Kinetics, Mathematical Biosciences and Engineering, 8(2) 475--502, 2011.
• [with R. Malka and E. Shochat]  Bistability and Bacterial Infections, 2010,  PLoS ONE 5(5) .
• [with E. Shochat ]  Novel strategies for G-CSF treatment of high-risk severe neutropenia suggested by mathematical modeling, Clinical Cancer Research 14, 6354-6363, October 15, 2008. See also the Supplement. 
• [with E. Shochat and L. Segel]  G-CSF control of neutrophils dynamics in the blood, Bull. Math. Biology ,69(7), 2299-2338, 2007.

Far from integrable limit - Billiards with Steep Potentials, Fermi accelerators:

• [with V. Gelfreich, D. Turaev]  " Oscillating mushrooms: adiabatic theory for a non-ergodic system", 2013, http://arxiv.org/abs/1305.2624
• [with V. Gelfreich, D. Turaev]  "Fermi acceleration and adiabatic invariants for non-autonomous billiards", Chaos 22, 033116 (2012); http://dx.doi.org/10.1063/1.4736542 (21 pages).
• [with D. Turaev]  "Billiards: a singular perturbation limit of smooth Hamiltonian flows", Chaos 22, 026102 (2012); http://dx.doi.org/10.1063/1.4722010 (21 pages)
• 
  
• [with V. Gelfreich, K. Shah, D. Turaev]  Robust exponential accelerators, PRL  106, 074101, 2011
• [with K. Shah and  D. Turaev]  Exponential energy growth in a Fermi accelerator,  Phys. Rev. E 81, 056205, 2010. 
• [with D.Turaev] Big islands in dispersing billiard-like potentials. Physica D, 130:187-210, 1999.
• [with A. Rapoport and D. Turaev] Stability in high dimensional steep repelling potentials, Comm. Math. Phys., 279, 497-534, 2008.
• [with A. Rapoport] Chaotic scattering by steep potentials, Phys. Rev E., 77, 016207, 2008.

Near Integrable Hamiltonians:

• [with E. Shlizermann] Classification of  solutions of the forced periodic nonlinear Schr\"{o}dinger equation,  Nonlinearity 23 (9), 2183-2218,2010. Selected to be on Nonlinearity Highly Downloaded Collection for 2010

• [with  D. Turaev] The symmetric Parabolic Resonance Instability, Nonlinearity 23 1325-1351, 2010.
• [with E. Shlizermann]  Parabolic Resonance: A Route to Hamiltonian Spatio-Temporal Chaos, Physical Review Letters, 102, 033901, 2009.
• [with E. Shlizermann ] Three types of chaos in the forced nonlinear Schrodinger equation, Physical Review Letters, 96, 024104, 2006.
• Parabolic resonances and instabilities. Chaos, 7(1):148-158, 1997.
• [with A. Litvak-Hinenzon] On energy surfaces and the resonance web, SIAM J. Appl. Dyn. Syst. 3(4), 525—573, 2004.
• [with S. Wiggins] Transport in two-dimensional maps. Archive for Rational Mech. and Anal., 109(3):239-298, 1990.
• Homoclinic tangles - classification and applications. Nonlinearity, 7:441-473, 1994.

Fluid Mixing:

• Rotem Aharon, Vered Rom-Kedar, and Hezi Gildor, "When complexity leads to simplicity: ocean surface mixing simplified by vertical convection", Phys. Fluids 24, 056603 (2012); http://dx.doi.org/10.1063/1.4719147. ON THE COVER.
• D. F. Carlson, E. Fredj, H. Gildor, V. Rom-Kedar, Deducing an upper bound to the horizontal eddy diffusivity using a stochastic Lagrangian model, Environmental Fluid Mechanics, 1567-7419 (Print) 1573-1510 (Online),  2010
• [with A.C. Poje] Universal properties of chaotic transport in the presence of diffusion. Phys. Fluids 11 (8) (1999) 2044-2057, 1999.
• [with A. Leonard and S. Wiggins] An analytical study of transport, mixing and chaos in an unsteady vortical flow.  J.  Fluid Mech., 214:347-394, 1990.

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