We study a generalization of a continued fraction of Ramanujan with random, complex-valued coefficients. A study of the continued fraction is equivalent to an analysis of the convergence of certain stochastic difference equations and the stability of random dynam-ical systems. We determine the convergence properties of stochastic difference equations and so the divergence of their corresponding continued fractions. 1
Several approaches exist to model the evolution of dynamical systems with large populations. These a...
The comparison of the long-time behaviour dynamical systems and their numerical approximations is no...
Basic concepts of simple continued fractions are introduced and some important theorems explored. Th...
We study a generalization of a continued fraction of Ramanujan with random, complexvalued coefficien...
We study a generalization of a continued fraction of Ramanujan with random coefficients. A study of ...
We study several generalizations of the AGM continued fraction of Ramanujan inspired by a series of ...
We study several generalizations of the AGM continued fraction of Ramanujan inspired by a series of ...
We study several generalizations of the AGM continued fraction of Ramanujan inspired by a series of ...
It is conjectured that the length of continued fraction behaves asymptotically like a random variabl...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.In this thesis we study genera...
We continue the study of random continued fraction expansions, generated by random application of th...
This thesis discusses the various problems arising in the modern theory of dynamical systems. It sta...
The N-continued fraction expansion is a generalization of the regular continued fraction expansion, ...
43 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.Finally, this thesis uses dyna...
A 2-continued fraction expansion is a generalisation of the regular continued fraction expansion, wh...
Several approaches exist to model the evolution of dynamical systems with large populations. These a...
The comparison of the long-time behaviour dynamical systems and their numerical approximations is no...
Basic concepts of simple continued fractions are introduced and some important theorems explored. Th...
We study a generalization of a continued fraction of Ramanujan with random, complexvalued coefficien...
We study a generalization of a continued fraction of Ramanujan with random coefficients. A study of ...
We study several generalizations of the AGM continued fraction of Ramanujan inspired by a series of ...
We study several generalizations of the AGM continued fraction of Ramanujan inspired by a series of ...
We study several generalizations of the AGM continued fraction of Ramanujan inspired by a series of ...
It is conjectured that the length of continued fraction behaves asymptotically like a random variabl...
77 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.In this thesis we study genera...
We continue the study of random continued fraction expansions, generated by random application of th...
This thesis discusses the various problems arising in the modern theory of dynamical systems. It sta...
The N-continued fraction expansion is a generalization of the regular continued fraction expansion, ...
43 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.Finally, this thesis uses dyna...
A 2-continued fraction expansion is a generalisation of the regular continued fraction expansion, wh...
Several approaches exist to model the evolution of dynamical systems with large populations. These a...
The comparison of the long-time behaviour dynamical systems and their numerical approximations is no...
Basic concepts of simple continued fractions are introduced and some important theorems explored. Th...