2020 research activities
The principal interests of the department lie in the areas of computer science and applied mathematics. Research areas include (but are not limited to) algorithms, their design and analysis; biological applications, bioinformatics, system biology, biological modeling; computational complexity, probabilistic proof systems, hardness of approximation, circuit complexity, combinatorial games; computer vision, image processing; cryptography; differential equations; distributed and parallel computing; dynamical systems; fluid dynamics; logic of programs, specification methodologies; machine learning and mathematical statistics; numerical analysis; randomness and its relation to computation; robotics and motion control; visual perception and brain modeling.
The departmental computer facilities include multiple PCs, multiple unix servers, two Linux clusters with multiple nodes, and large data storage systems. In addition, the vision laboratories, robotics laboratories and computational biology laboratories have a combination of experimental equipment and large-scale computing clusters.
Complementary sequences of integers, Fraenkel conjectureCollaboration with: David Klein, Jamie SimpsonCombinatorial game theoryCollaboration with: Urban Larsson, Lior Goldberg, Haiyan Li, Sanyang Liu, Wen An Liu , Udi Peled, Vladimir Gurvich, Clark Kimberling, Nhan B. Ho, Eric DucheneNumeration systems and theory of partitionsCollaboration with: George Andrews, James SellersJudaic studies
Hamiltonian systems - theory and applicationsCollaboration with: M. Radnovic, A. Rapoport, E. Shlizerman, D. TuraevNear-integrable systemsThe Boltzmann ergodic hypothesis and soft billiards.Chaotic scattering.Resonant surface waves.Perturbed nonlinear Schrodinger equation.Mathematical models of the hematopoietic system and their medical implicationsCollaboration with: R. Malka, E. Shochat.Chaotic mixing of fluid flowsCollaboration with: R. Aharon, H. Gildor
Fluid Dynamics and geophysical flowsNavier-Stokes, Euler and related geophysical modelsTurbulence theoryPolymeric flows and non-Newtonian complex fluidNonlinear Partial Differential Equations and Dynamical SystemsInfinite-dimensional dynamical systems , Reduced dynamical systems, Numerical analysis of dissipative PDEsLimit behavior of fast and slow dynamics