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Dyck paths are classical Catalan objects. The peak distribution of Dyck paths is an important topic of combinatorics, and further the representation of symmetric groups.
The full Kostant-Toda lattice defined on simple Lie algebras can be viewed as finite version of KP type hierarchies. In this talk I will show you how to explicitly construct (all) rational solutions o...
The use of optical lattices plays a versatile role in advancing knowledge of correlated quantum matter. The recent orbital lattice experimentsof Wirth et al [1{3] open up a new thrust towards discov...
The majority of magnetic materials possess some degree of magnetic anisotropy, either at the level of a single ion, or in the exchange interactions between di erent magnetic ions. Where these exchange...
Thermal fluctuations tend to destroy long-range phase correlations. Consequently, bosons in a lattice will undergo a transition from a phase-coherent superfluid as the temperature rises. Contrary to c...
Strange quark content of the nucleon hN|¯ss|Ni is calculated in dynamical lattice QCD employing the overlap fermion formulation. For this quantity, exact chiral symmetry guaranteed by the Ginspar...
Reaction-diffusion systems where transition rates exhibit quenched disorder are common in physical and chemical systems. We study pair reactions on a periodic two-dimensional lattice, including contin...
We discuss in detail a method to study transverse momentum dependent parton distribution functions (TMDs) using lattice QCD. To develop the formalism and to obtain rst numerical results,we directly ...
Form factors of the nucleon have been extracted from experiment with high precision. However, lattice calculations have failed so far to reproduce the observed dependence of form factors on the mome...
We present a lattice study of up to N = 20 unitary fermions confined to a harmonic trap. Our preliminary results show better than 1% agreement with high precision solutions to the many-body Schroding...
We propose a new lattice superfield formalismin momentumrepresentationwhich accommodates species doublers of the lattice fermions and their bosonic counterparts as super multiplets. We explicitly sh...
Supersymmetry (SUSY) and supersymmetric field theories are an interesting topic for numerical lattice simulations. Similar to the chiral symmetry there is also no local realization of (interacting)su...
I propose a method for measuring theWitten index using a lattice simulation. The index is useful to discuss spontaneous breaking of supersymmetry. As a test of the method, I also report some numerical...
We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavours Nf of Wilson fermions in the fundamental representation, including the relev...
For lattice formulations of the two-dimensional N = (2, 2) Wess–Zumino (2D N = (2, 2) WZ) model on the basis of the Nicolai map, we show that supersymmetry (SUSY) and other symmetries are restored in ...

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