This dissertation is devoted to the study of inverse spectral problem of Hankel operators. It is well-known that spectral characteristics of a Hankel operator does …
This thesis consists of four chapters on the author's research in algebraic dynamics. The first chapter introduces the main results. The second chapter is an …
In the field of arithmetic dynamics, we study number theoretic aspects of discrete dynamical systems induced by rational maps on projective spaces. Among the rational …
We extend the results presented by Antos et al. [1] for nonparametric estimation methods using complete datasets to nonparametric regression estimators that use right censored …
Baja la instruccion y direccion del P. F. Manuel Ayala, doctor en mathematicas y cathedratico de las mismas en dicha universidad. Dedicado al Sr. jeneral …
Quantum Field Theory is one of the most successful theories in the history of physics, making astonishingly accurate predictions of a wide range of phenomena. …
Domain exchange transformations (DETs) are dynamical systems of piecewise translations defined on piecewise smooth Jordan domains. DETs are two-dimensional generalizations of interval exchange transformations which …
por don Manuel Ayala, presbitero, doctor en mathematicas, ex-cathedratico de las mismas en el antiguo convictorio de San Bernardo y en el Colegio de Ciencias …
In this thesis, we study the elliptic boundary value problems on irregular domains. We first obtain the $W^{2,p}$ and $C^2$ regularity theories for second-order, non-divergence …
1) Brown University professors Daniel C. Drucker and Erastus Henry Lee discuss the role of mathematics in making buildings stronger, stabilizing ships and bridges, etc. …
Chapter 1 presents joint work with Nikolaos Kapouleas and is concerned with constructions of new closed, embedded minimal surfaces in the round three sphere using …
We prove a weak factorization result on birational maps of Deligne-Mumford stacks, and deduce the following: Let $U \subset X$ be an open embedding of …
The work in this thesis concerns two problems in arithmetic dynamics: forward orbit problems over finite fields, and inverse image problems over local fields. We …
We study existence and regularity of harmonic maps between 2-dimensional simplicial complexes. This work begins by defining metrics on these simplicial complexes and describing their …
"Carmen. Wendelini Helbachii, Molybergensis, quod in omnibus locis sint homines atque â Deo alantqr & sustentur", p. [1] and 175-184, 6th and 7th counts, has …
Broadly, topology is the study of shapes. In this thesis we specifically study surfaces through graphs which are defined by characteristics of the surface. The …