Theory of local times

Theory of Local Times

— A model of a stationary universe is proposed. In this framework, time is defined as a local and quantum-mechanical notion in the sense that it is defined for each local and quantum-mechanical system consisting of finite number of particles. The total universe consisting of infinite number of particles has no time associated. It is a stationary bound state of the total Hamiltonian of infinite ...

Theory of Local Times II . Another formulation and examples

The model of a stationary universe and the notion of local times presented in [10] are reviewed with some alternative formulation of the consistent uni cation of the Riemannian and Euclidean geometries of general relativity and quantum mechanics. The method of uni cation adopted in the present paper is by constructing a vector bundle X R 6 or X R 4 with X being the observer's reference frame an...

Reproducibility of Local Activation Times

The reproducibility of the measurement of local epicardial activation times using intraoperative epicardial mapping was studied in 10 patients. Two multipolar electrodes were used, one as a reference located on the anterior surface of the right ventricle, the other as a hand-held probe for depicting local activation times. During atrial pacing at 100 beats/min, activation times at various sites...

The distribution of local times of a

Probability Graduate Students Seminar Introduction to the theory of Brownian Local Times

Local Times of Brownian Motion were introduced in 1948 by French mathematician Paul Lévy in his fundamental book Processus Stochastiques et Mouvement Brownien. Naturally arising in many problems (such as, for instance, an extension of Itô’s formula to convex functions, or finding the density of the occupation measure of BM with respect to the Lebesgue measure), they also roughly describe the am...