Gr\'obner bases, resolutions, and the Lefschetz properties for powers of a general linear form in the squarefree algebra

Autor: Kling, Filip Jonsson, Lundqvist, Samuel, Mohammadi, Fatemeh, Orth, Matthias, Sáenz-de-Cabezón, Eduardo

For the almost complete intersection ideals $(x_1^2, \dots, x_n^2, (x_1 + \cdots + x_n)^k)$, we compute their reduced Gr\"obner basis for any term ordering, revealing a combinatorial structure linked to lattice paths, elementary symmetric polynomials

Externí odkaz: http://arxiv.org/abs/2411.10209

Multi-view biomedical foundation models for molecule-target and property prediction

Autor: Suryanarayanan, Parthasarathy, Qiu, Yunguang, Sethi, Shreyans, Mahajan, Diwakar, Li, Hongyang, Yang, Yuxin, Eyigoz, Elif, Saenz, Aldo Guzman, Platt, Daniel E., Rumbell, Timothy H., Ng, Kenney, Dey, Sanjoy, Burch, Myson, Kwon, Bum Chul, Meyer, Pablo, Cheng, Feixiong, Hu, Jianying, Morrone, Joseph A.

Foundation models applied to bio-molecular space hold promise to accelerate drug discovery. Molecular representation is key to building such models. Previous works have typically focused on a single representation or view of the molecules. Here, we d

Externí odkaz: http://arxiv.org/abs/2410.19704

First constraints on general neutrino interactions based on KATRIN data

Autor: Aker, M., Batzler, D., Beglarian, A., Beisenkötter, J., Biassoni, M., Bieringer, B., Biondi, Y., Block, F., Bornschein, B., Bornschein, L., Böttcher, M., Carminati, M., Chatrabhuti, A., Chilingaryan, S., Daniel, B. A., Descher, M., Barrero, D. Díaz, Doe, P. J., Dragoun, O., Drexlin, G., Edzards, F., Eitel, K., Ellinger, E., Engel, R., Enomoto, S., Felden, A., Fengler, C., Fiorini, C., Formaggio, J. A., Forstner, C., Fränkle, F. M., Gagliardi, G., Gauda, K., Gavin, A. S., Gil, W., Glück, F., Grössle, R., Gutknecht, N., Hannen, V., Hasselmann, L., Helbing, K., Henke, H., Heyns, S., Hiller, R., Hillesheimer, D., Hinz, D., Höhn, T., Huber, A., Jansen, A., Khosonthongkee, K., Köhler, C., Köllenberger, L., Kopmann, A., Kovač, N., La Cascio, L., Lasserre, T., Lauer, J., Le, T. L., Lebeda, O., Lehnert, B., Li, G., Lokhov, A., Machatschek, M., Mark, M., Marsteller, A., McMichael, K., Melzer, C., Mertens, S., Mohanty, S., Mostafa, J., Müller, K., Nava, A., Neumann, H., Niemes, S., Onillon, A., Parno, D. S., Pavan, M., Pinsook, U., Poon, A. W. P., Poyato, J. M. L., Priester, F., Ráliš, J., Ramachandran, S., Robertson, R. G. H., Rodenbeck, C., Röllig, M., Sack, R., Saenz, A., Salomon, R., Schäfer, P., Schlösser, K., Schlösser, M., Schlüter, L., Schneidewind, S., Schrank, M., Schürmann, J., Schütz, A. K., Schwemmer, A., Schwenck, A., Seeyangnok, J., Šefčík, M., Siegmann, D., Simon, F., Songwadhana, J., Spanier, F., Spreng, D., Sreethawong, W., Steidl, M., Štorek, J., Stribl, X., Sturm, M., Suwonjandee, N., Jerome, N. Tan, Telle, H. H., Thorne, L. A., Thümmler, T., Titov, N., Tkachev, I., Urban, K., Valerius, K., Vénos, D., Weinheimer, C., Welte, S., Wendel, J., Wetter, M., Wiesinger, C., Wilkerson, J. F., Wolf, J., Wüstling, S., Wydra, J., Xu, W., Zadorozhny, S., Zeller, G.

The precision measurement of the tritium $\beta$-decay spectrum performed by the KATRIN experiment provides a unique way to search for general neutrino interactions (GNI). All theoretical allowed GNI terms involving neutrinos are incorporated into a

Externí odkaz: http://arxiv.org/abs/2410.13895

Black hole accretion of scalar clouds with spontaneous symmetry breaking

Autor: Guo, Guangzhou, Garcia-Saenz, Sebastian, Wang, Peng, Wang, Xinmiao

Spontaneous scalarization of black holes typically occurs through the condensation of a scalar field, with the field evolving from a $U(1)$-symmetric phase into a symmetry-breaking one with lower energy. We show that there exist symmetry-breaking pha

Externí odkaz: http://arxiv.org/abs/2409.13184

Quantum-like approaches unveil the intrinsic limits of predictability in compartmental models

Autor: Rojas-Venegas, José Alejandro, Gallarta-Sáenz, Pablo, Hurtado, Rafael G., Gómez-Gardeñes, Jesús, Soriano-Paños, David

Publikováno v: Entropy 2024, 26(10), 888

Obtaining accurate forecasts for the evolution of epidemic outbreaks from deterministic compartmental models represents a major theoretical challenge. Recently, it has been shown that these models typically exhibit trajectories' degeneracy, as differ

Externí odkaz: http://arxiv.org/abs/2409.06438