Selected Publications:
News
O. Yaniv and V. Rom-Kedar Quantum pseudointegrable Hamiltonian impact system, , to appear in PRE V1 , 2023
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
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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