All Outputs (88)

On poly(ana)logs I (2002)
Journal Article
Elbaz-Vincent, P., & Gangl, H. (2002). On poly(ana)logs I. Compositio Mathematica, 130(2), 161-214. https://doi.org/10.1023/a%3A1013757217319

We investigate a connection between the differential of polylogarithms (as considered by Cathelineau) and a finite variant of them. This allows to answer a question raised by Kontsevich concerning the construction of functional equations for the fini... Read More about On poly(ana)logs I.

Childhood smoking: Incidence, interrelationships and interventions (2002)
Book
Cheung, P., & Wooff, D. (2002). Childhood smoking: Incidence, interrelationships and interventions. Smith-Gordon

One-parameter fixed-point theory and gradient flows of closed 1-forms (2002)
Journal Article
Schuetz, D. (2002). One-parameter fixed-point theory and gradient flows of closed 1-forms. K-Theory, 25(1), 59-97. https://doi.org/10.1023/a%3A1015079805400

We use the one-parameter fixed-point theory of Geoghegan and Nicas to get information about the closed orbit structure of transverse gradient flows of closed 1-forms on a closed manifold M. We define a noncommutative zeta function in an object relate... Read More about One-parameter fixed-point theory and gradient flows of closed 1-forms.

Integer sequences and periodic points (2002)
Journal Article
Everest, G., van der Poorten, A., Puri, Y., & Ward, T. (2002). Integer sequences and periodic points. Journal of integer sequences, 5, Article 02.2.3

Arithmetic properties of integer sequences counting periodic points are studied, and applied to the case of linear recurrence sequences, Bernoulli numerators, and Bernoulli denominators.

Calculable corrections to brane black hole decay: The scalar case (2002)
Journal Article
Kanti, P., & March-Russell, J. (2002). Calculable corrections to brane black hole decay: The scalar case. Physical Review D, Particles and fields, 66(2), https://doi.org/10.1103/physrevd.66.024023

In the context of brane-world theories, the production cross section for black holes may be greatly enhanced. Such black holes can in principle lead to detectable signals via their Hawking evaporation to brane-localized modes. We calculate, in the se... Read More about Calculable corrections to brane black hole decay: The scalar case.

The loss of tension in an infinite membrane with holes distributed according to a Poisson law (2002)
Journal Article
Menshikov, M., Rybnikov, K., & Volkov, S. (2002). The loss of tension in an infinite membrane with holes distributed according to a Poisson law. Advances in Applied Probability, 34(2), https://doi.org/10.1239/aap/1025131219

What is the effect of punching holes at random in an infinite tensed membrane? When will the membrane still support tension? This problem was introduced by Connelly in connection with applications of rigidity theory to natural sciences. The answer cl... Read More about The loss of tension in an infinite membrane with holes distributed according to a Poisson law.

Skyrmions, Fullerenes and Rational Maps (2002)
Journal Article
Battye, R., & Sutcliffe, P. (2002). Skyrmions, Fullerenes and Rational Maps. Reviews in Mathematical Physics, 14(1), 29-85. https://doi.org/10.1142/s0129055x02001065

We apply two very different approaches to calculate Skyrmions with baryon number B ≤ 22. The first employs the rational map ansatz, where approximate charge B Skyrmions are constructed from a degree B rational map between Riemann spheres. We use a si... Read More about Skyrmions, Fullerenes and Rational Maps.

Phase transition for the spherical hierarchical model (2002)
Journal Article
Ben Arous, G., Hryniv, O., & Molchanov, S. (2002). Phase transition for the spherical hierarchical model. Markov processes and related fields, 8(4), 565-594

We present the whole spectrum of the limit theorems for the total magnetization in the hierarchical version of the spherical model in dimensions dim > 2.