Outputs (104)

Further investigation into the impact of manuring on stable carbon (δ13C) and nitrogen isotope (δ15N) values in pulses: a four-year experiment examining Celtic bean (Vicia faba) (2024)
Journal Article
Treasure, E. R., Gröcke, D. R., Lester, J. J., Bishop, R. R., Jackson, S. E., & Church, M. J. (2024). Further investigation into the impact of manuring on stable carbon (δ13C) and nitrogen isotope (δ15N) values in pulses: a four-year experiment examining Celtic bean (Vicia faba). Archaeological and Anthropological Sciences, 16(8), Article 130. https://doi.org/10.1007/s12520-024-02045-x

Plant stable carbon (δ13C) and nitrogen (δ15N) isotope values can be used to directly investigate crop husbandry practices such as manuring; a key variable in understanding the scale and intensity of past farming practices. We present new results fro... Read More about Further investigation into the impact of manuring on stable carbon (δ13C) and nitrogen isotope (δ15N) values in pulses: a four-year experiment examining Celtic bean (Vicia faba).

Large- N integrated correlators in N = 4 SYM: when resurgence meets modularity (2024)
Journal Article
Dorigoni, D., & Treilis, R. (2024). Large- N integrated correlators in N = 4 SYM: when resurgence meets modularity. Journal of High Energy Physics, 2024(7), Article 235. https://doi.org/10.1007/jhep07%282024%29235

Exact expressions for certain integrated correlators of four half-BPS operators in N = 4 supersymmetric Yang-Mills theory with gauge group SU(N) have been recently obtained thanks to a beautiful interplay between supersymmetric localisation and modul... Read More about Large- N integrated correlators in N = 4 SYM: when resurgence meets modularity.

Perturbations of Q-balls: from spectral structure to radiation pressure (2024)
Journal Article
Ciurla, D., Dorey, P., Romańczukiewicz, T., & Shnir, Y. (2024). Perturbations of Q-balls: from spectral structure to radiation pressure. Journal of High Energy Physics, 2024(7), Article 196. https://doi.org/10.1007/jhep07%282024%29196

We investigate Q-balls in a 1+1 dimensional complex scalar field theory. We find that the relaxation of a squashed Q-ball is dominated by the decay of a normal mode through nonlinear coupling to scattering modes and a long-lasting quasi-normal mode.... Read More about Perturbations of Q-balls: from spectral structure to radiation pressure.

On Equal Consecutive Values of Multiplicative Functions (2024)
Journal Article
Mangerel, A. P. (in press). On Equal Consecutive Values of Multiplicative Functions. Discrete Analysis,

Let f : N → C be a multiplicative function for which ∑ p: | f (p)|̸ =1 1 p = ∞. We show under this condition alone that for any integer h ̸ = 0 the set {n ∈ N : f (n) = f (n + h) ̸ = 0} has logarithmic density 0. We also prove a converse result, alon... Read More about On Equal Consecutive Values of Multiplicative Functions.

Iterated-logarithm laws for convex hulls of random walks with drift (2024)
Journal Article
Cygan, W., Sandrić, N., Šebek, S., & Wade, A. R. (2024). Iterated-logarithm laws for convex hulls of random walks with drift. Transactions of the American Mathematical Society, 377(9), 6695-6724

We establish laws of the iterated logarithm for intrinsic volumes of the convex hull of many-step, multidimensional random walks whose increments have two moments and a non-zero drift. Analogous results in the case of zero drift, where the scaling is... Read More about Iterated-logarithm laws for convex hulls of random walks with drift.

The Emergence of Order in Many Element Systems (2024)
Journal Article
Einav, A. (2024). The Emergence of Order in Many Element Systems. Journal of Statistical Physics, 191(7), Article 86. https://doi.org/10.1007/s10955-024-03307-7

Our work is dedicated to the introduction and investigation of a new asymptotic correlation relation in the field of mean field models and limits. This new notion, order (as opposed to chaos), revolves around a tendency for self organisation in a giv... Read More about The Emergence of Order in Many Element Systems.

Metric Geometry of Spaces of Persistence Diagrams (2024)
Journal Article
Galaz Garcia, F., Che, M., Guijarro, L., & Membrillo Solis, I. (in press). Metric Geometry of Spaces of Persistence Diagrams. Journal of Applied and Computational Topology,

Categorifications of non-integer quivers: types H_4, H_3 and I_2(2n + 1) (2024)
Journal Article
Duffield, D. D., & Tumarkin, P. (in press). Categorifications of non-integer quivers: types H_4, H_3 and I_2(2n + 1). Representation Theory,

A Goldbach-type problem for the Liouville function (2024)
Journal Article
Mangerel, S. (online). A Goldbach-type problem for the Liouville function. International Mathematics Research Notices, 1-13. https://doi.org/10.1093/imrn/rnae149

Kurdyka–Łojasiewicz functions and mapping cylinder neighborhoods (2024)
Journal Article
Cibotaru, D., & Galaz-García, F. (online). Kurdyka–Łojasiewicz functions and mapping cylinder neighborhoods. Annales de l'Institut Fourier, https://doi.org/10.5802/aif.3656

Kurdyka–Łojasiewicz (KŁ) functions are real-valued functions characterized by a differential inequality involving the norm of their gradient. This class of functions is quite rich, containing objects as diverse as subanalytic, transnormal or Morse fu... Read More about Kurdyka–Łojasiewicz functions and mapping cylinder neighborhoods.