We review the Parisi-Frisch [1] MultiFractal formalism for Navier– Stokes turbulence with particular emphasis on the issue of statistical fluctuations of the dissipative scale. We do it for both Eulerian and Lagrangian Turbulence. We also show new results concerning the application of the formalism to the case of Shell Models for turbulence. The latter case will allow us to discuss the issue of...

Trade changes incentives to protect an open-access natural resource. In an OLG setting, the capital asset market transfers policy-induced future gains and losses to the current asset owner. The asset market creates incentives for agents currently alive to protect the natural resource under autarchy. Trade reverses these incentives. In a dynamic political economy, resource policies in both the o...

Honey bees (Apis mellifera L) are a well known model for behavioral studies of learning and memory (Opfinger, 1931; Lindauer, 1963; von Frisch, 1967; Gould, 1984; Menzel, 1990). Individual bees have to remember several parameters regarding effective food sites, such as their location, color, odor and shape. As social insects bees are well suited for an investigation of the mechanisms underlying...

We address the early universe reconstruction (EUR) problem (as considered by Frisch and coauthors in [24]), and the related Zeldovich approximate model [39]. By substituting the fully nonlinear Monge-Ampère equation for the linear Poisson equation to model gravitation, we introduce a modified mathematical model (”Monge-Ampère gravitation/MAG”), for which the Zeldovich approximation becomes exac...

Insect neurobiology and cognition are most fully understood through studies on European honeybees (Apis mellifera ssp.; Hymenoptera: Apidae). Karl von Frisch (1886–1982) became a Nobel Laureate in Medicine and Physiology (1973) for his pioneering research on honeybee behaviour, learning and social communication (von Frisch Tanzsprache und Orientierung der Bienen. Springer, Berlin,1965, The danc...

We make a connection between famous analytical object introduced in the 1860s by Riemann, as well some variants of it, and nonlinear geometric PDE, binormal curvature flow. As consequence, this has non-obvious interpretation. recall that flow is standard model for evolution vortex filaments. prove existence solutions with smooth trajectories are close desired to curves multifractal behavior. Fi...

A new method of measuring fission fragment mass and energy distributions as a function of incident neutron energy in the range from below 0.1 eV to 1 keV has been developed. The method involves placing a double-sided Frisch-gridded fission chamber in Rensselaer Polytechnic Institute’s lead slowing-down spectrometer (LSDS). The high neutron flux of the LSDS allows for the measurement of the ener...

We address the early universe reconstruction (EUR) problem (as considered by Frisch and coauthors in [26]), and the related Zeldovich approximate model [45]. By substituting the fully nonlinear Monge-Ampère equation for the linear Poisson equation to model gravitation, we introduce a modified mathematical model (”Monge-Ampère gravitation/MAG”), for which the Zeldovich approximation becomes exac...

Regular expression parsing is the problem of producing a parse tree of a string for a given regular expression. We show that a compact bit representation of a parse tree can be produced efficiently, in time linear in the product of input string size and regular expression size, by simplifying the DFA-based parsing algorithm due to Dubé and Feeley to emit the bits of the bit representation witho...

Polyurethanes represent a class of polymers that have found a widespread use in the medical, automotive and industrial fields. Polyurethanes can be found in products such as furniture, coatings, adhesives, constructional materials, fibers, paddings, paints, elastomers and synthetic skins. Polyurethane is abbreviated as PUR in compliance with official German and International standards. However,...