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	Selected Publications (see summary & motivation) Fluid Mixing Medicine Billiards Near-integrable Hamiltonians  Preprints
Research interests and publications Publication list (chronological order) Students Editorials Seminars The ACM bi-annual workshops CV Courses: Nonlinear dynamics and Chaos, Fall 2009

Selected Publications:

Far from integrable limit - Billiards with Steep Potentials:

• [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]  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.

Medicine:

• [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.
  

Fluid Mixing:

• [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.

נושאי מחקר עיקריים

ראו סדרת הרצאות לקהל הרחב

*בעיות בסיסיות בטבע הקשורות בתופעת הכאוס  ראו קורס מתוקשב שפותח לתלמידי תיכון ע"י קלריסה ברקוביץ

*בעיות הקשורות במערכת החיסונית.

* חקירת תופעות אלו מלווה בשימוש ופיתוח תיאוריות ושיטות מתימטיות בתחום מערכות דינמיות