913 research outputs found
Eavesdropping Under New York and Federal Law: How New York is Departing from Long-Standing Interpretations Mirroring Federal Law - People V. Rabb
Confronting the Confrontation Clause: Addressing the Unanswered Question of Whether Autopsy Reports are Testimonial Evidence - People v. Hall
Eavesdropping Under New York and Federal Law: How New York is Departing from Long-Standing Interpretations Mirroring Federal Law - People V. Rabb
Confronting the Confrontation Clause: Addressing the Unanswered Question of Whether Autopsy Reports are Testimonial Evidence - People v. Hall
It\u27s a \u27Criming Shame\u27: Moving from Land Use Ethics to Criminalization of Behavior Leading to Permits and Other Zoning Related Acts
In the past, land use ethics inquiries predominately involved conflicts of interest or an official holding public office while engaging in a previously held business or law practice. Now, prosecutors are looking at the underlying criminality of the unethical acts carried out in the context of land use decisions. With a wide array of criminal statutes in the hands of federal prosecutors, almost all forms of unethical conduct could in some way also violate a federal criminal statute.Part II of this article reviews the federal statutes most often used by federal prosecutors and provides some examples of recent reported cases in which the underlying illegal or unethical conduct involved alleged criminal activity. Part III offers some examples of recent reported state court cases in which criminal acts involving land use permitting or decision-making were the underlying cause of the subsequent or reported court action. Part IV concludes with the caveat that municipal attorneys and public officials can no longer simply view ethical issues in land use as a local or state civil matter, and those who work in and advise those in the public sector should be mindful of the tools at the disposal of federal investigators and prosecutors
It\u27s a \u27Criming Shame\u27: Moving from Land Use Ethics to Criminalization of Behavior Leading to Permits and Other Zoning Related Acts
In the past, land use ethics inquiries predominately involved conflicts of interest or an official holding public office while engaging in a previously held business or law practice. Now, prosecutors are looking at the underlying criminality of the unethical acts carried out in the context of land use decisions. With a wide array of criminal statutes in the hands of federal prosecutors, almost all forms of unethical conduct could in some way also violate a federal criminal statute.Part II of this article reviews the federal statutes most often used by federal prosecutors and provides some examples of recent reported cases in which the underlying illegal or unethical conduct involved alleged criminal activity. Part III offers some examples of recent reported state court cases in which criminal acts involving land use permitting or decision-making were the underlying cause of the subsequent or reported court action. Part IV concludes with the caveat that municipal attorneys and public officials can no longer simply view ethical issues in land use as a local or state civil matter, and those who work in and advise those in the public sector should be mindful of the tools at the disposal of federal investigators and prosecutors
Identities between Appell's and hypergeometric functions
Univariate specializations of Appell's hypergeometric functions F1, F2, F3,
F4 satisfy ordinary Fuchsian equations of order at most 4. In special cases,
these differential equations are of order 2, and could be simple (pullback)
transformations of Euler's differential equation for the Gauss hypergeometric
function. The paper classifies these cases, and presents corresponding
relations between univariate specializations of Appell's functions and
univariate hypergeometric functions. The computational aspect and interesting
identities are discussed.Comment: 30 pages; A few wrong evaluations of the published version are
rectified (see arXiv:0906.1861
Densities of short uniform random walks
We study the densities of uniform random walks in the plane. A special focus
is on the case of short walks with three or four steps and less completely
those with five steps. As one of the main results, we obtain a hypergeometric
representation of the density for four steps, which complements the classical
elliptic representation in the case of three steps. It appears unrealistic to
expect similar results for more than five steps. New results are also presented
concerning the moments of uniform random walks and, in particular, their
derivatives. Relations with Mahler measures are discussed.Comment: 32 pages, 9 figure
Period- and mirror-maps for the quartic K3
We study in detail mirror symmetry for the quartic K3 surface in P3 and the
mirror family obtained by the orbifold construction. As explained by Aspinwall
and Morrison, mirror symmetry for K3 surfaces can be entirely described in
terms of Hodge structures. (1) We give an explicit computation of the Hodge
structures and period maps for these families of K3 surfaces. (2) We identify a
mirror map, i.e. an isomorphism between the complex and symplectic deformation
parameters, and explicit isomorphisms between the Hodge structures at these
points. (3) We show compatibility of our mirror map with the one defined by
Morrison near the point of maximal unipotent monodromy. Our results rely on
earlier work by Narumiyah-Shiga, Dolgachev and Nagura-Sugiyama.Comment: 29 pages, 3 figure
Experimental mathematics on the magnetic susceptibility of the square lattice Ising model
We calculate very long low- and high-temperature series for the
susceptibility of the square lattice Ising model as well as very long
series for the five-particle contribution and six-particle
contribution . These calculations have been made possible by the
use of highly optimized polynomial time modular algorithms and a total of more
than 150000 CPU hours on computer clusters. For 10000 terms of the
series are calculated {\it modulo} a single prime, and have been used to find
the linear ODE satisfied by {\it modulo} a prime.
A diff-Pad\'e analysis of 2000 terms series for and
confirms to a very high degree of confidence previous conjectures about the
location and strength of the singularities of the -particle components of
the susceptibility, up to a small set of ``additional'' singularities. We find
the presence of singularities at for the linear ODE of ,
and for the ODE of , which are {\it not} singularities
of the ``physical'' and that is to say the
series-solutions of the ODE's which are analytic at .
Furthermore, analysis of the long series for (and )
combined with the corresponding long series for the full susceptibility
yields previously conjectured singularities in some , .
We also present a mechanism of resummation of the logarithmic singularities
of the leading to the known power-law critical behaviour occurring
in the full , and perform a power spectrum analysis giving strong
arguments in favor of the existence of a natural boundary for the full
susceptibility .Comment: 54 pages, 2 figure
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