Ned O. Gregerson and Dixie Gregerson v. James L. Jensen and Nedra Jensen : Brief of Appellants

Appeal from Judgment of Sixth Judicial District Court for Sanpete County, State of Utah, the Honorable Allen B. Sorensen, District Judge by Appointment, presiding

Ned O. Gregerson and Dixie Gregerson v. James L. Jensen and Nedra Jensen : Brief of Appellants

Appeal from Judgment of Sixth Judicial District Court for Sanpete County, State of Utah, the Honorable Allen B. Sorensen, District Judge by Appointment, presiding

Ned O. Gregerson v. James L. Jensen and Nedra Jensen : Brief of Respondents

Appeal from Judgment of Sixth Judicial District Court for Sanpete County, State of Utah, the Honorable Don V. Tibbs, District Judge, presiding

Dynamics of Fluxon Lattice in Two Coupled Josephson Junctions

We study theoretically the dynamics of a fluxon Lattice (FL) in two coupled Josephson junctions. We show that when the velocity of the moving FL exceeds certain values $(V_{a,b})$, sharp resonances arise in the system which are related to the excitation of the optical and acoustic collective modes. In the interval $(V_a, V_b)$ a reconstruction of the FL occurs. We also establish that one can excite localized nonlinear distortions (dislocations) which may propagate through the FL and carry an arbitrary magnetic flux.Comment: 4 pages, 3 figures, corected typo

Harmonic Measure and Winding of Conformally Invariant Curves

The exact joint multifractal distribution for the scaling and winding of the electrostatic potential lines near any conformally invariant scaling curve is derived in two dimensions. Its spectrum f(alpha,lambda) gives the Hausdorff dimension of the points where the potential scales with distance $r$ as $H \sim r^{\alpha}$ while the curve logarithmically spirals with a rotation angle phi=lambda ln r. It obeys the scaling law f(\alpha,\lambda)=(1+\lambda^2) f(\bar \alpha)-b\lambda^2 with \bar \alpha=\alpha/(1+\lambda^2) and b=(25-c)/{12}$, and where f(\alpha)\equiv f(\alpha,0) is the pure harmonic measure spectrum, and c the conformal central charge. The results apply to O(N) and Potts models, as well as to {\rm SLE}_{\kappa}.Comment: 3 figure

Linda H. Jensen, Petitioner/Appellant, vs. James T. Jensen, Respondent/Appellee : Reply Brief

LINDA H. JENSEN, Petitioner/Appellant, No.20010721-CA vs. JAMES T. JENSEN, Argument Priority 15 Respondent/Appellee

Lois Jensen Edwards v. Melvin Leroy Edwards : Brief of Appellant

An Appeal from the Judgment of the Fourth District Court, State of Utah, the Honorable, Allen B. Sorensen, Judg

Low-level dichotomy for Quantified Constraint Satisfaction Problems

Building on a result of Larose and Tesson for constraint satisfaction problems (CSP s), we uncover a dichotomy for the quantified constraint satisfaction problem QCSP(B), where B is a finite structure that is a core. Specifically, such problems are either in ALogtime or are L-hard. This involves demonstrating that if CSP(B) is first-order expressible, and B is a core, then QCSP(B) is in ALogtime. We show that the class of B such that CSP(B) is first-order expressible (indeed, trivially true) is a microcosm for all QCSPs. Specifically, for any B there exists a C such that CSP(C) is trivially true, yet QCSP(B) and QCSP(C) are equivalent under logspace reductions