Care colleghe, cari colleghi, vi segnalo per martedì *26 maggio *alle* ore 14:00 *il seminario di Diederik van Engelenburg (TU Wien), che si terrà presso il dipartimento "Guido Castelnuovo" della Sapienza, dal titolo: *One-arm exponents of the high-dimensional Ising model* Riporto sotto i dettagli. Saluti, Lorenzo Taggi *Luogo:* Sala di Consiglio, Dipartimento "Guido Castelnuovo", Sapienza Università di Roma. *Speaker:* Diederik van Engelenburg <https://sites.google.com/view/diederik-van-engelenburg/homepage> (TU Wien) *Title*: One-arm exponents of the high-dimensional Ising model *Abstract: * In this talk, I will focus on behavior of the Ising model in high dimensions (d ≥ 4). Widom proposed that thermodynamic quantities follow power laws governed by critical exponents, and above the *upper critical dimension d_c = 4*, these exponents reduce to the mean-field values (matching those on trees or complete graphs). I will talk about a recent work about the so-called *one-arm event *(the origin connects to distance n) in the FK-Ising model, We observe that this exponent depends on the boundary condition: for wired boundary conditions, we prove that this probability decays up to constants as n^(-1) for d ≥ 4, whereas in infinite volume we prove that it decays as n^(-2) for d ≥ 6, but *not* for d = 4, 5.