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

Photo by: Michal Benedek 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. Saporta-Katz, N. Mantel, R. Liran, V. Rom-Kedar, H. Gildor Northbound Transport of the Mediterranean Outflow and the Role of Time-Dependent Chaotic Advection, Geophysical Research Letters 51 (12), e2023GL105662 ,2024

V. Rom-Kedar and D. Turaev Stable motions of high energy particles interacting via a repelling potential,  Communications in Mathematical Physics 405 (6), 150 , 2024

L. Becker, S. Elliott, B. Firester, S. Gonen Cohen, M. Pnueli and V. Rom-Kedar Impact Hamiltonian systems and polygonal billiards , in "Hamiltonian Systems: Dynamics, Analysis, Applications, 2020" edited by Albert Fathi, Philip J. Morrison, Tere M-Seara, Sergei Tabachnikov, MSRI publications, Vol 72 ,2024

O. Saporta-Katz, E. S. Titi, H. Gildor, V. 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

O. Yaniv and V. Rom-Kedar Quantum pseudointegrable Hamiltonian impact system,  Phys. Rev. E 107, 054221, 2023

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

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

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)
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• [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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