The involutory dimension, if it exists, of an involution poset P := (P,≤,′ ) is the minimum cardinality of a family of linear extensions of ≤, involutory with respect to ′, whose intersection is the ordering ≤. We show that the involutory dimension of an involution poset exists iff any pair of isotropic elements are orthogonal. Some characterizations of the involutory dimension of such posets a...

In this paper, we study the dual representation for generalized multiple stopping problems, hence the pricing problem of general multiple exercise options. We derive a dual representation which allows for cashflows which are subject to volume constraints modeled by integer valued adapted processes and refraction periods modeled by stopping times. As such, this extends the works by Schoenmakers ...

The concept of echo hiding was first proposed by Bender et al. in 1996 (Gruhl, Lu, & Bender, 1996). As a new technology, it is remarkably easy to materialize. In comparison to other audio watermarking techniques, echo hiding with many outstanding features is extensively adopted in various audio watermark applications. The conventional scheme of embedding watermarks on audio signals is to add ra...

A method of reconstruction (ART) has recently been proposed (Gordon, Bender & Herman, 1970) which consists in Qeratively changing a trial structure until its projections are consistent tith the original projections of the unknown structure. It is shown that in general ART produces errcneous reconstructions. An alternative itetative method is proposed which will give correct reconstructions unde...

The dual stable Grothendieck polynomials are a deformation of the Schur functions, originating in the study of the K-theory of the Grassmannian. We generalize these polynomials by introducing a countable family of additional parameters, and we prove that this generalization still defines symmetric functions. For this fact, we give two self-contained proofs, one of which constructs a family of i...

We compute the generating function of column-strict plane partitions with parts in {1, 2, . . . , n}, at most c columns, p rows of odd length and k parts equal to n. This refines both, Krattenthaler’s [10] and the author’s [5] refinement of the Bender-Knuth (ex-)Conjecture. The result is proved by an extension of the method for proving polynomial enumeration formulas which was introduced by the...

The algebraicity conjecture for simple groups of finite Morley rank, also known as the Cherlin-Zilber conjecture, states that simple groups of finite Morley rank are simple algebraic groups over algebraically closed fields. In the last 15 years, the main line of attack on this problem has been Borovik’s program of transferring methods from finite group theory. Borovik’s program has led to consi...

Theorem 1.1. There exists a holomorphic map σ of C of the form ξ → λξ + O(2), η → λη + O(2), with λ not a root of unity and |λ| = 1, such that σ is reversible by an antiholomorphic involution and by a formal holomorphic involution, and is however not reversible by any C-smooth involution of which the linear part is holomorphic. In particular, the σ is not reversible by any holomorphic involution.

M. Bender, 2, 3 G. F. Bertsch, and P.-H. Heenen Department of Physics and Institute for Nuclear Theory, Box 351560, University of Washington, Seattle, WA 98195 Physics Division, Argonne National Laboratory, 9700 S. Cass Avenue, Argonne, IL 60439 National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, MI 48824 Service de Physique Nucléaire Théorique, Université Li...