Results 1 to 10 of about 33,245 (97)

The 1/2--Complex Bruno function and the Yoccoz function. A numerical study of the Marmi--Moussa--Yoccoz Conjecture [PDF]

, 2003
We study the 1/2--Complex Bruno function and we produce an algorithm to evaluate it numerically, giving a characterization of the monoid $\hat{\mathcal{M}}=\mathcal{M}_T\cup \mathcal{M}_S$.
Carletti, Timoteo
core   +3 more sources

Understanding complex dynamics by means of an associated Riemann surface [PDF]

, 2011
We provide an example of how the complex dynamics of a recently introduced model can be understood via a detailed analysis of its associated Riemann surface.
Abenda, Abenda, Aref, Balwin, Bender, Bender, Bender, Bender, Bountis, Bountis, Bountis, Calogero, Calogero, Calogero, Calogero, Calogero, Calogero, Calogero, Calogero, Chang, Chang, Chang, D. Gómez-Ullate, F. Calogero, Fedorov, Fokas, Gomez-Ullate, Grinevich, Kowalewskaya, Kruskal, Kruskal, Levine, M. Sommacal, P.M. Santini, Painlevé, Ramani, Tabor, Tabor   +37 more
core   +3 more sources

Fractional Branes on a Non-compact Orbifold [PDF]

, 2001
Fractional branes on the non-compact orbifold $\C^3/\Z_5$ are studied. First, the boundary state description of the fractional branes are obtained. The open-string Witten index calculated using these states reproduces the adjacency matrix of the quiver ...
Mukhopadhyay, Subir, Ray, Koushik
core   +3 more sources

Continued fractions, modular symbols, and non-commutative geometry [PDF]

, 2001
Using techniques introduced by D. Mayer, we prove an extension of the classical Gauss-Kuzmin theorem about the distribution of continued fractions, which in particular allows one to take into account some congruence properties of successive convergents ...
Manin, Yuri I., Marcolli, Matilde
core   +3 more sources

The impact of Stieltjes' work on continued fractions and orthogonal polynomials

, 1993
Stieltjes' work on continued fractions and the orthogonal polynomials related to continued fraction expansions is summarized and an attempt is made to describe the influence of Stieltjes' ideas and work in research done after his death, with an emphasis ...
A Pringsheim, A Pringsheim, A Seiberg, AA Gonchar, AA Markov, AA Markov, AA Markov, AM Al-Rashed, AS Kronrod, AS Kronrod, B Baillaud, C Berg, C Brezinski, C Hermite, CL Siegel, D Hubert, D Hubert, D Hubert, DS Lubinsky, DV Chudnovsky, DV Chudnovsky, E Cosserat, E Hendriksen, EB Christoffel, EB Vleck Van, EB Vleck Van, EB Vleck Van, F Hausdorff, F Peherstorfer, FWJ Olver, G Darboux, G Darboux, G Freud, G Gasper, G Monegato, G Polya, G Szegö, G Szegö, G Szegő, G Vitali, G Vitali, GH Hardy, GH Hardy, H Bruns, H Hamburger, H Hamburger, H Hamburger, H Padé, H Padé, H Stahl, H Widom, H Widom, H Zaheer, HN Mhaskar, HS Wall, J Favard, JA Shohat, JA Shohat, JL Ullman, K Aomoto, K Possé, K Possé, L Carlitz, L Lorch, L Lorentzen, L Schur, LJ Rogers, LJ Rogers, M Alam, M Fekete, M Prévost, M Riesz, M Tsuji, MEH Ismail, MEH Ismail, MG Krein, MG Krein, MH Stone, ML Mehta, NI Akhiezer, NY Vilenkin, O Njåstad, O Perron, O Perron, P Erdős, P Montel, PG Nevai, PJ Forrester, PL Chebyshev, PL Pastro, R Askey, RA Gustafson, S Karlin, S Karlin, S Karlin, T Carleman, T Carleman, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TS Chihara, TS Chihara, TS Chihara, W Assche Van, W Gautschi, W Gautschi, W Gautschi, W Hahn, W Ledermann, WB Jones, WB Jones, WB Jones, YL Geronimus   +121 more
core   +2 more sources

On Salem numbers, expansive polynomials and Stieltjes continued fractions [PDF]

, 2014
A converse method to the Construction of Salem (1945) of convergent families of Salem numbers is investigated in terms of an association between Salem polynomials and Hurwitz quotients via expansive polynomials of small Mahler measure.
Guichard, Christelle, Verger-Gaugry, Jean-Louis   +1 more
core   +4 more sources

Pade approximants of random Stieltjes series

, 2007
We consider the random continued fraction S(t) := 1/(s_1 + t/(s_2 + t/(s_3 + >...))) where the s_n are independent random variables with the same gamma distribution. For every realisation of the sequence, S(t) defines a Stieltjes function.
Marklof, Jens, Tourigny, Yves, Wolowski, Lech   +2 more
core   +1 more source

Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology [PDF]

, 2014
We introduce some algebraic geometric models in cosmology related to the "boundaries" of space-time: Big Bang, Mixmaster Universe, Penrose's crossovers between aeons.
Manin, Yuri I., Marcolli, Matilde
core   +6 more sources

Bounded analytic maps, Wall fractions and ABC flow

, 2013
In this work we study the qualitative properties of real analytic bounded maps defined in the infinite complex strip. The main tool is approximation by continued g-fractions of Wall. As an application, the ABC flow system is considered which is essential
Tsygvintsev, Alexei
core   +1 more source

Generalized Farey trees, transfer Operators and phase transitions

, 2006
We consider a family of Markov maps on the unit interval, interpolating between the tent map and the Farey map. The latter map is not uniformly expanding.
A.H. Cottrell, C. Simon, D.C. Wallace, D.E. Grady, D.E. Grady, G.E. Mase, J. Lipkin, J.R. Asay, J.W. Swegle, K. Yano, K. Yano, M. Zhou, M.A. Meyers, P.V. Makarov, R.A. Graham, V.E. Panin, W. Band, W.M. Trott, Y. Horie, Yu.I. Mescheryakov   +19 more
core   +1 more source