Abstract. On the basis of the second gradient operator defined on curved surfaces, the second category of integral theorems for tensor fields, including the second divergence theorems, the second gradient theorems, the second curl theorems and the second circulation theorems, are systematically demonstrated. Simple conservation laws about the mean curvature and Gauss curvature are deduced from ...

We provide a self-contained, accessible introduction to Ratner’s Equidistribution Theorem in the special case of horocyclic flow on a complete hyperbolic surface of finite area. This equidistribution result was first obtained in the early 1980s by Dani and Smillie [DS84] and later reappeared as an illustrative special case [Rat92] of Ratner’s work [Rat91-Rat94] on the equidistribution of unipot...

Back, Jung Ho, Hamid Reza Rezvani, Yucui Zhu, Véronique Guyonnet-Duperat, Mohammad Athar, Desiree Ratner, and Arianna L. Kim From Departments of Dermatology, Columbia University Medical Center, New York, NY 10032; Inserm 1035, Bordeaux, F-33076, France; Université Bordeaux Segalen, Bordeaux, F-33076, France; SFR TransBioMed, Plateforme de vectorologie, Université Bordeaux Segalen, Bordeaux, F33...

Understanding the limiting distributions of translates of measures on submanifolds of homogeneous spaces of Lie groups lead to very interesting number theoretic and geometric applications. We explore this theme in various generalities, and in specific cases. Our main tools are Ratner’s theorems on unipotent flows, nondivergence theorems of Dani and Margulis, and dynamics of linear actions of se...

We will give a simplified and a direct proof of a special case of Ratner’s theorem on closures and uniform distribution of individual orbits of unipotent flows; namely, the case of orbits of the diagonally embedded unipotent subgroup acting on SL(2, K)/Γ1 × · · ·×SL(2, K)/Γn, where K is a locally compact field of characteristic 0 and each Γi is a cocompact discrete subgroup of SL(2, K). This sp...

Vol. XLII (May 2005), 119–128 119 *Nathan Novemsky is Assistant Professor of Marketing, School of Management, Yale University (e-mail: [email protected]). Daniel Kahneman is Eugene Higgins Professor of Psychology, Psychology Department, Woodrow Wilson School, Princeton University (e-mail: [email protected]). The authors thank On Amir, Dan Ariely, Ravi Dhar, Shane Frederick, Joel Hub...

this study aimed to evaluate freeze-dried sera as an alternative to non-freeze dried for detection of anti-leishmania infantum antibodies over the course of 11 months using the direct agglutination test (dat).altogether, 60 serum samples (30 from humans and 30 from dogs) were collected from various geographical locations in iran. all the collected sera were pooled and each pooled serum sample c...

background: recent advances in cancer treatment have resulted in an increased number of cancer survivors. fertility might be impaired by cancer itself or through gonadal damage as a consequence of radio-chemotherapy. damages to reproductive organs are seen in minimally upto 30% of cancer patients. the aim of the present study was evaluate the attitude of iranian oncologists toward fertility pre...

in spite of the technologies developed during the last decade, the level of food loss is still high and is reported in many countries. according to the united nations, more than 30 per cent of the mortality rate world-wide is caused by alimentary diseases. the desire of most countries to make food safer for consumption requires better food preservation and production techniques. in this regard,...

in this paper, we introduce the idea of relative order and type of entire functions represented by banach valued dirichlet series of two complex variables to generalize some earlier results.proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by dirichlet series is the same as that of it...