Singular random signals

More about measures and Jacobians of singular random matrices

In this work are studied the Jacobians of certain singular transformations and the corresponding measures which support the jacobian computations.

Understanding random Vibration signals

more about measures and jacobians of singular random matrices

in this work are studied the jacobians of certain singular transformations and the corresponding measures which support the jacobian computations.

Singular Control of Optional Random Measures

In this thesis, we study the problem of maximizing certain concave functionals on the space of optional random measures. Such functionals arise in microeconomic theory where their maximization corresponds to finding the optimal consumption plan of some economic agent. As an alternative to the well–known methods of Dynamic Programming, we develop a new approach which allows us to clarify the str...

Dirichlet String Theory and Singular Random Surfaces

We show that string theory with Dirichlet boundaries is equivalent to string theory containing surfaces with certain singular points. Surface curvature is singular at these points. A singular point is resolved in conformal coordinates to a circle with Dirichlet boundary conditions. We also show that moduli parameters of singular surfaces coincide with those of smooth surfaces with boundaries. S...