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Double-diffractive processes in high resolution missing-mass experiments at the Tevatron (2001)
Journal Article
Khoze, V., Martin, A., & Ryskin, M. (2001). Double-diffractive processes in high resolution missing-mass experiments at the Tevatron. The European Physical Journal C, 19(3), 477-483. https://doi.org/10.1007/s100520100637

We evaluate, in a model-independent way, the signal-to-background ratio for Higgs→ b¯b detection in exclusive double-diffractive events at the Tevatron and the LHC. For the missing-mass approach to be able to identify the Higgs boson, it will be nece... Read More about Double-diffractive processes in high resolution missing-mass experiments at the Tevatron.

Avoiding foregone conclusions: geometric and foundational analysis of paradoxes of finite additivity (2001)
Journal Article
Goldstein, M. (2001). Avoiding foregone conclusions: geometric and foundational analysis of paradoxes of finite additivity. Journal of Statistical Planning and Inference, 94(1), 73-87. https://doi.org/10.1016/s0378-3758%2800%2900229-9

We consider an example in which the use of finitely additive probabilities leads to the seemingly paradoxical conclusion that we may reason to a foregone conclusion. We give an informal treatment of this paradox. We then develop a geometric approach... Read More about Avoiding foregone conclusions: geometric and foundational analysis of paradoxes of finite additivity.

N=1 M5-brane geometries (2001)
Journal Article
Brinne, B., Fayyazuddin, A., Husain, T., & Smith, D. J. (2001). N=1 M5-brane geometries. Journal of High Energy Physics, 2001(03), https://doi.org/10.1088/1126-6708/2001/03/052

We describe how to construct solutions to eleven-dimensional supergravity corresponding to M5-branes wrapped on holomorphic 2-cycles embedded in 3. These solutions preserve = 1 supersymmetry in four dimensions. In the near-horizon limit they are expe... Read More about N=1 M5-brane geometries.

On the connectivity properties of the complementary set in fractal percolation models (2001)
Journal Article
Menshikov, M., Yu, P. S., & Vachkovskaia, M. (2001). On the connectivity properties of the complementary set in fractal percolation models. Probability Theory and Related Fields, 119(2), 176-186. https://doi.org/10.1007/pl00008757

We study the connectivity properties of the complementary set in Poisson multiscale percolation model and in Mandelbrot's percolation model in arbitrary dimension. By using a result about majorizing dependent random fields by Bernoulli fields, we pro... Read More about On the connectivity properties of the complementary set in fractal percolation models.

A Bayesian Analysis of Fluid Flow in Pipelines (2001)
Journal Article
Rougier, J., & Goldstein, M. (2001). A Bayesian Analysis of Fluid Flow in Pipelines. Journal of the Royal Statistical Society: Series C, 50(1), 77-93. https://doi.org/10.1111/1467-9876.00221

The waterhammer equations are a pair of partial differential equations that describe the behaviour of an incompressible fluid in a pipe-line. We generalize these equations to account for uncertainty in the description of the liquid and the pipe-line,... Read More about A Bayesian Analysis of Fluid Flow in Pipelines.

A sharp nonlinear stability threshold in rotating porous convection (2001)
Journal Article
Straughan, B. (2001). A sharp nonlinear stability threshold in rotating porous convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 457(2005), 87-93. https://doi.org/10.1098/rspa.2000.0657

A nonlinear stability analysis is performed for the Darcy equations of thermal convection in a fluid-saturated porous medium when the medium is rotating about an axis orthogonal to the layer in the direction of gravity. A best possible result is esta... Read More about A sharp nonlinear stability threshold in rotating porous convection.

Real hypersurfaces of Kahler manifolds (2001)
Journal Article
Klingenberg, W. (2001). Real hypersurfaces of Kahler manifolds. Asian Journal of Mathematics, 5(1), 1 -18. https://doi.org/10.4310/ajm.2001.v5.n1.a1

Building on work by S. M. Webster \ref[J. Differential Geom. 13 (1978), no. 1, 25--41; MR0520599 (80e:32015)] the author studies the geometry of the second fundamental form of a real hypersurface in a Kähler manifold. As an application he proves that... Read More about Real hypersurfaces of Kahler manifolds.

Curvature and Geometry of Tessellating Plane Graphs (2001)
Journal Article
Baues, O., & Peyerimhoff, N. (2001). Curvature and Geometry of Tessellating Plane Graphs. Discrete & Computational Geometry, 25(1), 141-159. https://doi.org/10.1007/s004540010076

We show that the growth of plane tessellations and their edge graphs may be controlled from below by upper bounds for the combinatorial curvature. Under the assumption that every geodesic path may be extended to infinity we provide explicit estimates... Read More about Curvature and Geometry of Tessellating Plane Graphs.

Relic dark energy from trans-Planckian regime (2001)
Journal Article
Mersini, L., Bastero-Gil, M., & Kanti, P. (2001). Relic dark energy from trans-Planckian regime. Physical Review D, Particles and fields, 64(4), https://doi.org/10.1103/physrevd.64.043508

As yet, there is no underlying fundamental theory for the trans-Planckian regime. There is a need to address the issue of how the observables in our present Universe are affected by processes that may have occurred at super-Planckian energies (referr... Read More about Relic dark energy from trans-Planckian regime.

Primes in elliptic divisibility sequences (2001)
Journal Article
Einsiedler, M., Everest, G., & Ward, T. (2001). Primes in elliptic divisibility sequences. LMS journal of computation and mathematics, 4, 1-13. https://doi.org/10.1112/s1461157000000772

Morgan Ward pursued the study of elliptic divisibility sequences initiated by Lucas, and Chudnovsky and Chudnovsky suggested looking at elliptic divisibility sequences for prime appearance. The problem of prime appearance in these sequences is examin... Read More about Primes in elliptic divisibility sequences.