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Daily network digest

Thursday, June 25, 2026

Directed information-flow networks for this session, covering US equities, Foreign exchange. Each class is estimated independently over a trailing one-year window; the tables below rank the assets carrying the most influence within their own network.

Jump to: US equities · Foreign exchange

US equities

CWAN was the most central name, carrying 3.47× the influence of an average node across 1495 stocks.

stocks
1495
Density
0.185
Clustering
0.453
Diameter
2

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
CWAN 1 0.00232 3.47× 36.1% 19.3% BCE, WTS, LXP, CR, CFR
BHF 2 0.00221 3.31× 34.1% 25.8% CMS, VTR, DE, COST, PEP
APG 3 0.00213 3.18× 32.9% 12.1% CINF, TU, ATO, PFG, AEE
EMA 4 0.00210 3.13× 29.7% 11.4% TU, FERG, NDAQ, BRK.A, CSX
BNS 5 0.00206 3.08× 31.9% 16.3% EXC, IDA, WTRG, HIG, AVB
NWS 6 0.00201 3.00× 35.3% 18.7% APG, ADT, WRB, AXS, PFE
RY 7 0.00186 2.78× 27.7% 11.6% AFG, GWW, UNF, BAP, WES
ED 8 0.00186 2.78× 29.8% 14.4% DOX, ES, BHF, MAA, KMB
PNW 9 0.00186 2.77× 27.6% 19.5% AXS, SYK, SO, CTRE, RHP
CM 10 0.00185 2.76× 28.0% 16.0% COST, STWD, ESNT, TFC, DIS

Volatility watch

Highest modelled probability of elevated volatility ahead. A research output, not a directional call.

SymbolScore Recent volatility
SNDK 0.9806 13.13%
MU 0.9795 10.96%
AAOI 0.9767 7.59%
RGC 0.9749 11.84%
NVTS 0.9710 8.71%
BE 0.9685 8.64%
VSH 0.9683 7.40%
MXL 0.9676 8.35%
MSTR 0.9670 3.39%
ASTS 0.9664 3.50%

Rising influence vs 2026-06-24

SymbolPageRank PreviousChange
CF 0.001310.00010 +0.00121
GIL 0.001310.00010 +0.00120
CRUS 0.001250.00010 +0.00115
BHF 0.002210.00107 +0.00114
CNX 0.001230.00010 +0.00113

Falling influence

SymbolPageRank PreviousChange
CVBF 0.000100.00134 -0.00124
VST 0.000100.00128 -0.00118
IVZ 0.000100.00125 -0.00115
COO 0.000100.00120 -0.00110
FANG 0.000100.00118 -0.00108

Foreign exchange

ZMWZAR was the most central name, carrying 7.21× the influence of an average node across 540 pairs.

pairs
540
Density
0.039
Clustering
0.404
Diameter

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
ZMWZAR 1 0.01335 7.21× 16.0% 9.1% DOPGBP, XAUZAR, USDEGP, NOKRUB, INRMYR
ZARNGN 2 0.01091 5.89× 11.9% 9.3% USDRUB, NOKRUB, XAUBRL, JPYRUB, ZARTRY
EGPZAR 3 0.00922 4.98× 10.4% 6.9% LKRZAR, ZARTRY, USDNGN, ZARNGN, NOKRUB
UYUEUR 4 0.00696 3.76× 4.1% 0.9% GBPNPR, EURMUR, GBPBTN, MXNCLP, EGPEUR
ARSAUD 5 0.00691 3.73× 14.5% 8.9% XAGBRL, XAGSAR, XAGMXN, XAGTRY, XAGINR
USDMUR 6 0.00670 3.62× 3.9% 3.2% COPMXN, JPYRSD, CADZAR, ARSJPY, ARSZAR
BWPCHF 7 0.00669 3.61× 7.1% 3.0% ZARGHS, BDTJPY, TZSGBP, GBPGHS, EURRUB
XAUAUD 8 0.00616 3.33× 12.8% 6.7% AUDIDR, PLNNOK, CZKNOK, RUBJPY, AUDBRL
CHFTHB 9 0.00614 3.32× 5.9% 0.6% EURINR, JPYINR, XAUJPY
EURINR 10 0.00613 3.31× 1.5% 0.6% USDMUR, SCRUSD, USDSCR

Rising influence vs 2026-06-24

SymbolPageRank PreviousChange
ZMWZAR 0.013350.00601 +0.00734
ZARNGN 0.010910.00463 +0.00628
ZARJPY 0.006000.00088 +0.00512
CHFTHB 0.006140.00122 +0.00493
USDUYU 0.005690.00111 +0.00458

Falling influence

SymbolPageRank PreviousChange
XAUGBP 0.001770.01142 -0.00965
ZARINR 0.002560.01072 -0.00816
USDFJD 0.002570.00721 -0.00464
EURGHS 0.000390.00453 -0.00415
ILSZAR 0.002490.00627 -0.00378

How these numbers are produced

Transfer entropy measures how much knowing one asset's past reduces uncertainty about another's future, beyond what that asset's own past already explains. Unlike correlation it is directional, so an edge from A to B means A's moves carry information about B's next move — not merely that they move together.

Each night we estimate transfer entropy across three universes — roughly 1,500 US common stocks, 350 cryptocurrencies and 550 currency pairs — over a trailing one-year window, conditioning on a broad market series so that shared market-wide movement is discounted rather than counted as a link. Edges surviving the significance filter form that session's directed network, from which the centrality figures on this page are computed. Coverage differs by class: crypto reaches back to January 2024, equities to August 2025, so older digests may cover fewer classes.

PageRank ranks an asset by how much influence flows into it from other influential assets. In-degree and out-degree are the share of the network sending information to it and receiving information from it. Betweenness captures how often an asset sits on the shortest path between two others.

The volatility watch score is a model estimate of the probability that an asset sees elevated volatility in the coming sessions. It is a research output, not a forecast of price direction, and nothing on this page is investment advice.