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101
Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactions
Published 2025-01-01“…All results are represented as universal expansions to appropriate basis. We also conjecture a compact general formula for tree YM amplitudes with higher mass dimension, which allows us to generate them from ordinary YM amplitudes, and discuss the consistent factorizations of the conjectured formula.…”
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102
The Diophantine equation x2+2k=yn, II
Published 1999-01-01“…These support a previous conjecture, without providing a complete proof.…”
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103
Affine Anosov Diffeomorphims of Affine Manifolds
Published 2008-01-01“…This is a partial answer of a conjecture of Franks for affine manifolds.…”
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104
Splaying a search tree in preorder takes linear time
Published 1991-01-01“…This is a special case of the splay tree traversal conjecture of Sleator and Tarjan.…”
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105
An Improvement of the Lower Bound on the Maximum Number of Halving Lines for Sets in the Plane with an Odd Number of Points
Published 2025-01-01“…With respect to this problem, it is conjectured that, for all <i>n</i> multiples of 3, there are 3-symmetric sets of <i>n</i> points for which the rectilinear crossing number is attained.…”
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106
A class of gap series with small growth in the unit disc
Published 2002-01-01“…In this paper, investigations concerning this conjecture are discussed. For example, we prove that limsupr→1−(logL(r)/logM(r))=1 and limsupr→1−(L(r)/M(r))=0 when ak=kα(1+β).…”
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107
Energy Conservation for 3D Tropical Climate Model in Periodic Domains
Published 2021-01-01“…Our results are similar to Onsager’s conjecture which is on energy conservation for weak solutions of Euler equations.…”
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108
On Almost Orthogonal Frames
Published 2012-01-01“…It has been proved that a bounded almost orthogonal frame satisfies Feichtinger conjecture. Also, we prove that a bounded almost orthogonal frame contains a Riesz basis.…”
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109
Rigidity of symmetric simplicial complexes and the lower bound theorem
Published 2025-01-01“…Our result implies that Stanley’s lower bound theorem for centrally symmetric polytopes extends to pseudomanifolds with a free simplicial automorphism of order 2, thus verifying (the inequality part of) another conjecture of Klee, Nevo, Novik and Zheng. Both results actually apply to a much larger class of simplicial complexes – namely, the circuits of the simplicial matroid. …”
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110
Global Attractivity of a Family of Max-Type Difference Equations
Published 2011-01-01“…Through some numerical results of other cases, we finally pose a generic conjecture.…”
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111
The Rank-One property for free Frobenius extensions
Published 2023-10-01“…A conjecture by the second author, proven by Bonnafé–Rouquier, says that the multiplicity matrix for baby Verma modules over the restricted rational Cherednik algebra has rank one over $\mathbb{Q}$ when restricted to each block of the algebra.In this paper, we show that if $H$ is a prime algebra that is a free Frobenius extension over a regular central subalgebra $R$, and the centre of $H$ is normal Gorenstein, then each central quotient $A$ of $H$ by a maximal ideal $\mathfrak{m}$ of $R$ satisfies the rank-one property with respect to the Cartan matrix of $A$. …”
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112
L-correspondences: the inclusion Lp(μ,X)⊂Lq(ν,Y)
Published 1996-01-01“…After proving some basic theorems, we give characterizations of some types of L-correspondences and offer a conjecture that is similar to an equimeasurability theorem.…”
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113
Difference Equations and Sharing Values Concerning Entire Functions and Their Difference
Published 2014-01-01“…As its applications, we investigate the difference analogue of the Brück conjecture. We obtain some results on entire functions sharing a finite value with their difference operators. …”
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114
The incidence chromatic number of some graph
Published 2005-01-01“…The concept of the incidence chromatic number of a graph was introduced by Brualdi and Massey (1993). They conjectured that every graph G can be incidence colored with Δ(G)+2 colors. …”
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115
On the Diophantine equation x2+2k=yn
Published 1997-01-01“…By factorizing the equation x2+2k=yn, n≥3, k-even, in the field Q(i), various theorems regarding the solutions of this equation in rational integers are proved. A conjecture regarding the solutions of this equation has been put forward and proved to be true for a large class of values of k and n.…”
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116
On the function TreH+itK
Published 2002-01-01“…This shows that the Bessis-Moussa-Vilani conjecture holds for large random matrices in an asymptotic sense.…”
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117
On the recursive sequence xn+1=−1/xn+A/xn−1
Published 2001-01-01“…We give sufficient conditions under which every positive solution of this equation converges to a period two solution. This confirms a conjecture in the work of DeVault et al. (2000).…”
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118
Zero-One Law for Connectivity in Superposition of Random Key Graphs on Random Geometric Graphs
Published 2015-01-01“…For this class of random graphs, we establish a new version of a conjectured zero-one law for graph connectivity as the number of nodes becomes unboundedly large. …”
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119
On Some Symmetric Systems of Difference Equations
Published 2013-01-01“…Here we show that the main results in the papers by Yalcinkaya (2008), Yalcinkaya and Cinar (2010), and Yalcinkaya, Cinar, and Simsek (2008), as well as a conjecture from the last mentioned paper, follow from a slight modification of a result by G. …”
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120
The nonlinear cysteine redox dynamics in the i-space: A proteoform-centric theory of redox regulation
Published 2025-04-01“…Monte Carlo simulations of the human protein PTP1B reveal extensive i-space sampling beyond site-centric models, supporting the “oxiform conjecture”. This conjecture posits that highly oxidised proteoforms, molecules bearing multiple oxidised cysteines, are central to redox regulation. …”
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