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20072012
most citedOn integral well-rounded lattices in the plane

6 citations

Showing 2010Show all

6 papers · 1 filter

math.GT20103 cited

(t,s)-racks and their link invariants

Jessica Ceniceros, Sam Nelson

A (t,s)-rack is a rack structure defined on a module over the ring . We identify necessary and sufficient conditions for two -ra…

math.NT2010

On well-rounded sublattices of the hexagonal lattice

Lenny Fukshansky, Daniel Moore, R. Andrew Ohana +1

We produce an explicit parameterization of well-rounded sublattices of the hexagonal lattice in the plane, splitting them into similarity classes. We use this parameterization to s…

math.FA2010

Minimal projections with respect to various norms

Asuman Guven Aksoy, Grzegorz Lewicki

We will show that a theorem of Rudin \cite{wr1}, \cite{wr}, permits us to determine minimal projections not only with respect to the operator norm but with respect to quasi-norms i…

math.FA2010

Best Approximation in Numerical Radius

Asuman Guven Aksoy, Grzegorz Lewicki

Let be a reflexive Banach space. In this paper we give a necessary and sufficient condition for an operator to have the best approximation in numerical ra…

math.MG2010

Bounds for solid angles of lattices of rank three

Lenny Fukshansky, Sinai Robins

We find sharp absolute constants and with the following property: every well-rounded lattice of rank 3 in a Euclidean space has a minimal basis so that the solid angle…

q-fin.GN2010

Overview of utility-based valuation

David German

We review the utility-based valuation method for pricing derivative securities in incomplete markets. In particular, we review the practical approach to the utility-based pricing b…