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Daily network digest

Thursday, July 23, 2026

Directed information-flow networks for this session, covering US equities, Cryptocurrency, 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 · Cryptocurrency · Foreign exchange

US equities

BIP was the most central name, carrying 3.24× the influence of an average node across 1496 stocks.

stocks
1496
Density
0.175
Clustering
0.449
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
BIP 1 0.00217 3.24× 32.1% 18.9% BATRA, HIG, IDA, HOMB, MNST
CB 2 0.00209 3.13× 33.1% 16.9% LAMR, PEN, MMM, KRG, FTV
SCHW 3 0.00205 3.07× 38.0% 15.1% AME, L, WRB, CMS, POST
RY 4 0.00200 2.99× 28.6% 10.0% JPM, VMC, CFR, TPR, BXSL
BRK.B 5 0.00199 2.97× 26.0% 18.1% DTM, CB, MAA, STN, ACGL
PEN 6 0.00194 2.91× 30.6% 20.9% AEE, EQIX, AES, CFR, EQR
AGNC 7 0.00194 2.90× 29.6% 15.8% WRB, WTM, CPT, BRX, EA
AM 8 0.00190 2.85× 34.6% 15.1% AVA, NNN, FR, SCHW, RNST
WTM 9 0.00190 2.84× 32.3% 18.3% PFG, BRK.B, BANC, CL, SEIC
AVA 10 0.00188 2.81× 26.6% 14.9% WM, INGR, ADC, HD, NWSA

Volatility watch

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

SymbolScore Recent volatility
HUT 0.9572 4.53%
MXL 0.9567 6.37%
DOCN 0.9565 7.95%
AAOI 0.9550 7.97%
ACMR 0.9489 7.82%
CLF 0.9470 7.28%
ASTS 0.9466 5.84%
MU 0.9454 5.07%
MAAS 0.9451 11.38%
ALM 0.9445 4.71%

Rising influence vs 2026-07-22

SymbolPageRank PreviousChange
AM 0.001900.00010 +0.00180
FTI 0.001580.00010 +0.00148
CNS 0.001550.00010 +0.00145
MMM 0.001430.00010 +0.00133
WMT 0.001430.00010 +0.00133

Falling influence

SymbolPageRank PreviousChange
ETN 0.000100.00162 -0.00152
BHF 0.001620.00305 -0.00143
FHI 0.000100.00136 -0.00126
CSW 0.000100.00135 -0.00125
AXP 0.000100.00132 -0.00122

Cryptocurrency

OMNIUSD was the most central name, carrying 4.61× the influence of an average node across 364 assets.

assets
364
Density
0.143
Clustering
0.366
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
OMNIUSD 1 0.01267 4.61× 56.5% 15.2% PHAUSD, LMWRUSD, LCXUSD, SHPINGUSD, LTCUSD
ACAUSD 2 0.01171 4.26× 56.7% 16.3% GHSTUSD, RAREUSD, AERGOUSD, ASTUSD, CXTUSD
OCEANUSD 3 0.01039 3.78× 52.6% 24.2% ACSUSD, SPAUSD, DIAUSD, XRPUSD, SKYUSD
SWFTCUSD 4 0.01001 3.64× 50.1% 13.5% CTXUSD, NYMUSD, XYOUSD, ZROUSD, PAXGUSD
SUKUUSD 5 0.00884 3.22× 44.6% 26.7% BCHNUSD, BCHEUR, MNGOUSD, PYRUSD, BCHUSD
KEYUSD 6 0.00863 3.14× 47.1% 16.8% LIFIIIUSD, MORPHOUSD, FARMUSD, DRVUSD, OMNIUSD
OXTUSD 7 0.00859 3.13× 32.5% 19.8% HOPRUSD, FOXUSD, BOBAUSD, IOUSD, FETUSD
HOPRUSD 8 0.00852 3.10× 41.6% 29.5% GFIUSD, FLOKIUSD, METISUSD, POLUSD, SHPINGUSD
TRACUSD 9 0.00806 2.93× 44.9% 36.6% AVTUSD, FLRUSD, WIFEUR, ARKMUSD, AUCTIONUSD
LMWRUSD 10 0.00801 2.91× 41.6% 16.0% AUDIOUSD, LTCBTC, HFTUSD, METISUSD, ALICEUSD

Rising influence vs 2026-07-22

SymbolPageRank PreviousChange
OMNIUSD 0.012670.00361 +0.00906
OCEANUSD 0.010390.00342 +0.00697
OXTUSD 0.008590.00241 +0.00618
ACAUSD 0.011710.00601 +0.00570
LCXUSD 0.007610.00284 +0.00478

Falling influence

SymbolPageRank PreviousChange
XAUTUSD 0.004380.01963 -0.01526
PAXGUSD 0.004690.01675 -0.01205
AERGOUSD 0.002800.00937 -0.00657
XRPBTC 0.001160.00661 -0.00545
JUNOUSD 0.001370.00650 -0.00514

Foreign exchange

ZMWZAR was the most central name, carrying 6.58× the influence of an average node across 537 pairs.

pairs
537
Density
0.039
Clustering
0.418
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 0.01226 6.58× 13.6% 12.1% XAUBRL, JPYRUB, USDEGP, DOPGBP, NOKRUB
ZARNGN 2 0.00880 4.72× 11.4% 8.2% SGDZAR, USDRUB, NOKRUB, ZARTRY, MXNZAR
EGPZAR 3 0.00812 4.36× 11.0% 9.0% SGDZAR, MXNZAR, ZARSGD, LKRZAR, KRWRUB
USDMUR 4 0.00731 3.93× 3.5% 3.0% JPYRSD, COPMXN, CADZAR, KWDEUR, ZARARS
ARSAUD 5 0.00687 3.69× 14.2% 9.3% XAGBRL, BWPZAR, XAGMXN, XAGGBP, XAGTRY
BWPCHF 6 0.00645 3.47× 6.0% 3.2% ZARGHS, BDTJPY, GHSUSD, EURRUB, CHFBWP
OMRZAR 7 0.00582 3.13× 11.4% 5.4% ZARTRY, ZARNGN, USDEGP, JPYILS, ZARAED
XAUAUD 8 0.00581 3.12× 12.5% 6.7% AUDIDR, PLNNOK, RUBJPY, CZKNOK, KRWRUB
USDUYU 9 0.00572 3.07× 6.3% 1.5% DOPUSD, COPDKK, DKKCOP, CADCOP, COPCLP
GBPUYU 10 0.00571 3.07× 6.5% 1.7% DOPUSD, COPDKK, DKKCOP, COPCLP, CADCOP

Rising influence vs 2026-07-22

SymbolPageRank PreviousChange
CHFTHB 0.005460.00119 +0.00428
USDUYU 0.005720.00146 +0.00426
USDPEN 0.004850.00077 +0.00408
ZARJPY 0.004840.00096 +0.00388
DOPGBP 0.004800.00100 +0.00380

Falling influence

SymbolPageRank PreviousChange
ZARINR 0.002340.01092 -0.00859
XAUGBP 0.002150.00715 -0.00500
ZARUSD 0.001600.00578 -0.00418
EURILS 0.002290.00624 -0.00395
AEDSEK 0.001710.00560 -0.00388

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.